{"id":1775,"date":"2022-08-29T06:26:30","date_gmt":"2022-08-29T06:26:30","guid":{"rendered":"https:\/\/www.embibe.com\/in-mr\/?p=1775"},"modified":"2022-08-29T06:47:00","modified_gmt":"2022-08-29T06:47:00","slug":"maharashtra-board-class-9-formulae","status":"publish","type":"post","link":"https:\/\/www.embibe.com\/in-mr\/maharashtra-board-class-9-formulae\/","title":{"rendered":"\u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092c\u094b\u0930\u094d\u0921 \u0907\u092f\u0924\u094d\u0924\u093e \u0928\u0935\u0935\u0940 2023 &#8211; \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u0940 \u0938\u0942\u0924\u094d\u0930\u0947"},"content":{"rendered":"\n<p><strong>\u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u0940 \u0938\u0942\u0924\u094d\u0930\u0947:<\/strong> \u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092c\u094b\u0930\u094d\u0921 \u0907\u092f\u0924\u094d\u0924\u093e 9 \u0935\u0940 \u0915\u0930\u0940\u0924\u093e Embibe 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\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u093e \u0935\u093e\u092a\u0930 \u0939\u094b\u0924\u094b. \u0907\u092f\u0924\u094d\u0924\u093e 9 \u0935\u0940 \u091a\u094d\u092f\u093e \u0917\u0923\u093f\u0924\u093e\u091a\u094d\u092f\u093e \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u092e\u0927\u094d\u092f\u0947 \u0938\u0902\u091a, \u0935\u093e\u0938\u094d\u0924\u0935 \u0938\u0902\u0916\u094d\u092f\u093e, \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0935 \u092a\u094d\u0930\u092e\u093e\u0923, \u0905\u0930\u094d\u0925\u0928\u093f\u092f\u094b\u091c\u0928, \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940, \u091a\u094c\u0915\u094b\u0928, \u0935\u0930\u094d\u0924\u0941\u0933, \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u0915 \u092d\u0942\u092e\u093f\u0924\u0940, \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u0940, \u092a\u0943\u0937\u094d\u0920\u092b\u0933 \u0935 \u0918\u0928\u092b\u0933 \u0907\u0924\u094d\u092f\u093e\u0926\u0940\u0902\u0936\u0940 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0938\u0942\u0924\u094d\u0930\u0947 \u0938\u092e\u093e\u0935\u093f\u0937\u094d\u091f \u0906\u0939\u0947\u0924. \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u094d\u092f\u093e\u0902\u0928\u093e \u092a\u094d\u0930\u0936\u094d\u0928 \u0905\u0927\u093f\u0915 \u0905\u091a\u0942\u0915\u092a\u0923\u0947 \u0906\u0923\u093f \u0938\u094b\u092a\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u0940\u0928\u0947 \u0938\u094b\u0921\u0935\u0924\u093e \u092f\u093e\u0935\u0947\u0924 \u092f\u093e\u0938\u093e\u0920\u0940 \u0917\u0923\u093f\u0924\u093e\u091a\u0940 \u0939\u0940 \u0938\u0942\u0924\u094d\u0930\u0947 \u0905\u0924\u094d\u092f\u0902\u0924 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0920\u0930\u0924\u093e\u0924.<\/p>\n\n\n\n<p><strong>\u0917\u0923\u093f\u0924 \u092d\u093e\u0917 -1 \u0935\u093f\u0937\u092f\u093e\u0924\u0940\u0932 \u0915\u093e\u0939\u0940 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u0940 \u0938\u0942\u0924\u094d\u0930\u0947<\/strong><\/p>\n\n\n\n<ol><li><strong>\u0938\u0902\u091a<\/strong><\/li><\/ol>\n\n\n\n<ul><li>\u091c\u094d\u092f\u093e \u0938\u092e\u0942\u0939\u093e\u0902\u0924\u0940\u0932 \u0918\u091f\u0915 \u0905\u091a\u0942\u0915 \u0935 \u0928\u0947\u092e\u0915\u0947 \u0938\u093e\u0902\u0917\u0924\u093e \u092f\u0947\u0924\u093e\u0924, \u0924\u094d\u092f\u093e \u0938\u092e\u0942\u0939\u093e\u0902\u0928\u093e \u0938\u0902\u091a \u0905\u0938\u0947 \u092e\u094d\u0939\u0923\u0924\u093e\u0924.&nbsp;<\/li><\/ul>\n\n\n\n<p>\u0906\u0924\u093e \u0906\u092a\u0923 \u0915\u093e\u0939\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0902\u091a\u0947 \u0938\u0902\u091a \u092a\u093e\u0939\u0942.&nbsp;<\/p>\n\n\n\n<p><strong>N<\/strong> = { 1, 2, 3, . . .} \u0939\u093e \u0928\u0948\u0938\u0930\u094d\u0917\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0902\u091a \u0906\u0939\u0947.&nbsp;<\/p>\n\n\n\n<p><strong>W<\/strong>= {0, 1, 2, 3, . . .} \u0939\u093e \u092a\u0942\u0930\u094d\u0923 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0902\u091a \u0906\u0939\u0947.&nbsp;<\/p>\n\n\n\n<p><strong>I<\/strong> = {&#8230;, -3, -2, -1, 0, 1, 2, &#8230;} \u0939\u093e \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0902\u091a \u0906\u0939\u0947.&nbsp;&nbsp;<\/p>\n\n\n\n<p><strong>Q<\/strong> = {pq , | p, q I, q \u2260 0} \u0939\u093e \u0938\u0930\u094d\u0935 \u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0902\u091a\u093e \u0938\u0902\u091a \u0906\u0939\u0947.&nbsp;<\/p>\n\n\n\n<p><strong>R<\/strong> \u0939\u093e \u0935\u093e\u0938\u094d\u0924\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0902\u091a\u093e \u0938\u0902\u091a \u0906\u0939\u0947.&nbsp;&nbsp;<\/p>\n\n\n\n<ul><li><strong>\u0935\u0947\u0928 \u0906\u0915\u0943\u0924\u0940&nbsp;&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u0938\u0902\u091a \u0932\u093f\u0939\u093f\u0923\u094d\u092f\u093e\u0938\u093e\u0920\u0940 \u092c\u0902\u0926\u093f\u0938\u094d\u0924 \u0906\u0915\u0943\u0924\u094d\u092f\u093e\u0902\u091a\u093e \u0909\u092a\u092f\u094b\u0917 \u092c\u094d\u0930\u093f\u091f\u093f\u0936 \u0924\u0930\u094d\u0915\u0936\u093e\u0938\u094d\u0924\u094d\u0930\u091c\u094d\u091e \u091c\u0949\u0928 \u0935\u0947\u0928 \u092f\u093e\u0902\u0928\u0940 \u092a\u094d\u0930\u0925\u092e \u0915\u0947\u0932\u093e. \u092e\u094d\u0939\u0923\u0942\u0928 \u0905\u0936\u093e \u0906\u0915\u0943\u0924\u094d\u092f\u093e\u0902\u0928\u093e \u2018\u0935\u0947\u0928 \u0906\u0915\u0943\u0924\u0940\u2019 \u092e\u094d\u0939\u0923\u0924\u093e\u0924.<\/p>\n\n\n\n<ul><li><strong>\u0909\u092a\u0938\u0902\u091a&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u091c\u0930 A \u0906\u0923\u093f B \u0939\u0947 \u0926\u094b\u0928 \u0938\u0902\u091a \u0905\u0938\u0924\u0940\u0932 \u0906\u0923\u093f \u0938\u0902\u091a B \u091a\u093e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0918\u091f\u0915 \u0939\u093e \u0938\u0902\u091a A \u091a\u093e \u0926\u0947\u0916\u0940\u0932 \u0918\u091f\u0915 \u0905\u0938\u0947\u0932, \u0924\u0930 \u0938\u0902\u091a B \u0932\u093e \u0938\u0902\u091a A \u091a\u093e \u0909\u092a\u0938\u0902\u091a \u092e\u094d\u0939\u0923\u0924\u093e\u0924 \u0906\u0923\u093f <strong>B <\/strong><strong>A<\/strong> \u0905\u0936\u093e \u091a\u093f\u0928\u094d\u0939\u093e\u0928\u0947 \u0926\u093e\u0916\u0935\u0924\u093e\u0924. \u0924\u094d\u092f\u093e\u091a\u0947 \u0935\u093e\u091a\u0928 <strong>\u2018B \u0909\u092a\u0938\u0902\u091a A\u2019<\/strong> \u0905\u0938\u0947 \u0915\u093f\u0902\u0935\u093e \u2018<strong>B \u0939\u093e A \u091a\u093e \u0909\u092a\u0938\u0902\u091a \u0906\u0939\u0947<\/strong>\u2019 \u0905\u0938\u0947 \u0915\u0930\u0924\u093e\u0924.&nbsp;&nbsp;<\/p>\n\n\n\n<ul><li><strong>\u0935\u093f\u0936\u094d\u0935\u0938\u0902\u091a&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u0906\u092a\u0923 \u091c\u094d\u092f\u093e \u0938\u0902\u091a\u093e\u0902\u091a\u093e \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0923\u093e\u0930 \u0906\u0939\u094b\u0924 \u0924\u094d\u092f\u093e \u0938\u0930\u094d\u0935\u093e\u0902\u0928\u093e \u0938\u093e\u092e\u093e\u0935\u0942\u0928 \u0918\u0947\u0923\u093e\u0930\u093e \u090f\u0915 \u092e\u094b\u0920\u093e \u0938\u0902\u091a \u0935\u093f\u0936\u094d\u0935\u0938\u0902\u091a \u092e\u094d\u0939\u0923\u0942\u0928 \u0913\u0933\u0916\u0932\u094d\u092f\u093e \u091c\u093e\u0924\u094b. \u0924\u094d\u092f\u093e\u091a\u094d\u092f\u093e \u092c\u093e\u0939\u0947\u0930\u0940\u0932 \u0918\u091f\u0915\u093e\u0902\u091a\u093e \u0906\u092a\u0923 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0924 \u0928\u093e\u0939\u0940. \u0935\u093f\u091a\u093e\u0930\u093e\u0924 \u0918\u0947\u0924\u0932\u0947\u0932\u093e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u091a \u0935\u093f\u0936\u094d\u0935\u0938\u0902\u091a\u093e\u091a\u093e \u0909\u092a\u0938\u0902\u091a \u0905\u0938\u0924\u094b. \u0935\u093f\u0936\u094d\u0935\u0938\u0902\u091a \u0938\u093e\u0927\u093e\u0930\u0923\u092a\u0923\u0947 \u2018U\u2019 \u092f\u093e \u0905\u0915\u094d\u0937\u0930\u093e\u0928\u0947 \u0926\u0930\u094d\u0936\u0935\u0924\u093e\u0924.<strong>&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<ul><li><strong>\u092a\u0942\u0930\u0915 \u0938\u0902\u091a&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u0938\u092e\u091c\u093e U \u0939\u093e \u0935\u093f\u0936\u094d\u0935\u0938\u0902\u091a \u0906\u0939\u0947. \u091c\u0930 B A, \u0924\u0930 \u0938\u0902\u091a B \u092e\u0927\u094d\u092f\u0947 \u0928\u0938\u0932\u0947\u0932\u094d\u092f\u093e \u092a\u0930\u0902\u0924\u0941 \u0935\u093f\u0936\u094d\u0935\u0938\u0902\u091a U \u092e\u0927\u094d\u092f\u0947 \u0905\u0938\u0932\u0947\u0932\u094d\u092f\u093e \u0918\u091f\u0915\u093e\u0902\u091a\u094d\u092f\u093e \u0938\u0902\u091a\u093e\u0932\u093e \u0938\u0902\u091a B \u091a\u093e \u092a\u0942\u0930\u0915 \u0938\u0902\u091a \u092e\u094d\u0939\u0923\u0924\u093e\u0924. \u0938\u0902\u091a B \u091a\u093e \u092a\u0942\u0930\u0915 \u0938\u0902\u091a B\u2019 \u0915\u093f\u0902\u0935\u093e BC \u0928\u0947 \u0926\u0930\u094d\u0936\u0935\u0924\u093e\u0924.&nbsp;<\/p>\n\n\n\n<p>\u2234 B&#8217; ={x| x U, \u0906\u0923\u093f&nbsp; x B} \u0905\u0938\u0947 B\u2019 \u091a\u0947 \u0935\u0930\u094d\u0923\u0928 \u0915\u0930\u0924\u093e \u092f\u0947\u0908\u0932.&nbsp;<\/p>\n\n\n\n<ul><li><strong>\u0926\u094b\u0928 \u0938\u0902\u091a\u093e\u0902\u091a\u093e \u0938\u0902\u092f\u094b\u0917<\/strong><\/li><\/ul>\n\n\n\n<p>\u0938\u092e\u091c\u093e, A \u0906\u0923\u093f B \u0939\u0947 \u0926\u094b\u0928 \u0938\u0902\u091a \u0906\u0939\u0947\u0924. \u092f\u093e \u0926\u094b\u0928\u094d\u0939\u0940 \u0938\u0902\u091a\u093e\u0924\u0940\u0932 \u0918\u091f\u0915\u093e\u0902\u0928\u0940 \u092e\u093f\u0933\u0942\u0928 \u0939\u094b\u0923\u093e\u0931\u094d\u092f\u093e \u0938\u0902\u091a\u093e\u0932\u093e A \u0906\u0923\u093f B \u092f\u093e \u0938\u0902\u091a\u093e\u0902\u091a\u093e \u0938\u0902\u092f\u094b\u0917 \u0938\u0902\u091a \u092e\u094d\u0939\u0923\u0924\u093e\u0924. \u0924\u094b<strong> A <\/strong><strong>\u222a<\/strong><strong> B<\/strong> \u0905\u0938\u093e \u0932\u093f\u0939\u093f\u0924\u093e\u0924 \u0906\u0923\u093f <strong>A \u0938\u0902\u092f\u094b\u0917 B<\/strong> \u0905\u0938\u093e \u0935\u093e\u091a\u0924\u093e\u0924.<\/p>\n\n\n\n<ul><li><strong>\u0926\u094b\u0928 \u0938\u0902\u091a\u093e\u0902\u091a\u093e \u091b\u0947\u0926<\/strong><\/li><\/ul>\n\n\n\n<p>\u0938\u092e\u091c\u093e A \u0906\u0923\u093f B \u0939\u0947 \u0926\u094b\u0928 \u0938\u0902\u091a \u0906\u0939\u0947\u0924. A \u0906\u0923\u093f B \u092f\u093e \u0938\u0902\u091a\u093e\u0902\u092e\u0927\u0940\u0932 \u0938\u093e\u092e\u093e\u0908\u0915 \u0918\u091f\u0915\u093e\u0902\u091a\u094d\u092f\u093e \u0938\u0902\u091a\u093e\u0932\u093e A \u0906\u0923\u093f B \u092f\u093e \u0938\u0902\u091a\u093e\u0902\u091a\u093e \u091b\u0947\u0926\u0938\u0902\u091a \u0905\u0938\u0947 \u092e\u094d\u0939\u0923\u0924\u093e\u0924. \u0924\u094b <strong>A <\/strong><strong>\u2229<\/strong><strong> B<\/strong> \u0905\u0938\u093e \u0932\u093f\u0939\u093f\u0924\u093e\u0924 \u0906\u0923\u093f \u0924\u094d\u092f\u093e\u091a\u0947 \u0935\u093e\u091a\u0928 <strong>A \u091b\u0947\u0926 B<\/strong> \u0905\u0938\u0947 \u0915\u0930\u0924\u093e\u0924.<\/p>\n\n\n\n<ul><li><strong>\u0938\u0902\u092f\u094b\u0917 \u0938\u0902\u091a \u0906\u0923\u093f \u091b\u0947\u0926 \u0938\u0902\u091a \u092f\u093e\u0902\u0924\u0940\u0932 \u0918\u091f\u0915\u093e\u0902\u091a\u094d\u092f\u093e \u0938\u0902\u0916\u094d\u092f\u093e<\/strong>&nbsp;&nbsp;<\/li><\/ul>\n\n\n\n<p>n(A\u222aB)=n(A) +n(B) &#8211; n(A\u2229B)<\/p>\n\n\n\n<p><strong>2. \u0935\u093e\u0938\u094d\u0924\u0935 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><\/p>\n\n\n\n<ul><li><strong>\u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0902\u091a\u0947 \u0917\u0941\u0923\u0927\u0930\u094d\u092e<\/strong><\/li><\/ul>\n\n\n\n<style type=\"text\/css\">\n.tg  {border-collapse:collapse;border-spacing:0;}\n.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;\n  overflow:hidden;padding:10px 5px;word-break:normal;}\n.tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;\n  font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;}\n.tg .tg-9hzb{background-color:#FFF;font-weight:bold;text-align:center;vertical-align:top}\n.tg .tg-7yig{background-color:#FFF;text-align:center;vertical-align:top}\n<\/style>\n<table class=\"tg\">\n<thead>\n  <tr>\n    <th class=\"tg-9hzb\"><span style=\"font-weight:700;font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">\u0917\u0941\u0923\u0927\u0930\u094d\u092e <\/span><\/th>\n    <th class=\"tg-9hzb\"><span style=\"font-weight:700;font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">\u092c\u0947\u0930\u0940\u091c <\/span><\/th>\n    <th class=\"tg-9hzb\"><span style=\"font-weight:700;font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">\u0917\u0941\u0923\u093e\u0915\u093e\u0930<\/span><\/th>\n  <\/tr>\n<\/thead>\n<tbody>\n  <tr>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">\u0915\u094d\u0930\u092e\u0928\u093f\u0930\u092a\u0947\u0915\u094d\u0937\u0924\u093e <\/span><\/td>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">a + b = b + a<\/span><\/td>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">ab = ba <\/span><\/td>\n  <\/tr>\n  <tr>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">\u0938\u093e\u0939\u091a\u0930\u094d\u092f <\/span><\/td>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">(a + b) + c = a + (b + c)<\/span><\/td>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">a(bc) =(ab)c <\/span><\/td>\n  <\/tr>\n  <tr>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">\u0905\u0935\u093f\u0915\u093e\u0930\u0915<\/span><\/td>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">a + 0 = 0 + a = a<\/span><\/td>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">a1 = 1a <\/span><\/td>\n  <\/tr>\n  <tr>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">\u0935\u094d\u092f\u0938\u094d\u0924<\/span><\/td>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">a + (-a) = 0<\/span><\/td>\n    <td class=\"tg-7yig\"><span style=\"font-style:normal;text-decoration:none;color:#000;background-color:#FFF\">a1a =a  (a 0) <\/span><\/td>\n  <\/tr>\n<\/tbody>\n<\/table>\n\n\n\n<ul><li><strong>\u0915\u0930\u0923\u0940&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u091c\u0930 n \u0939\u0940 1 \u092a\u0947\u0915\u094d\u0937\u093e \u092e\u094b\u0920\u0940 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0938\u0947\u0932 \u0906\u0923\u093f a \u092f\u093e \u0927\u0928 \u0935\u093e\u0938\u094d\u0924\u0935 \u0938\u0902\u0916\u094d\u092f\u0947\u091a\u0947 n \u0935\u0947 \u092e\u0942\u0933 x \u0928\u0947 \u0926\u093e\u0916\u0935\u0932\u0947 \u0924\u0930 xn = a \u0915\u093f\u0902\u0935\u093e n a =x \u0905\u0938\u0947 \u0932\u093f\u0939\u093f\u0924\u093e\u0924. \u091c\u0930 a \u0939\u0940 \u0927\u0928 \u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0938\u0947\u0932 \u0906\u0923\u093f a \u091a\u0947 n \u0935\u0947 \u092e\u0942\u0933 x \u0939\u0940 \u0905\u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0938\u0947\u0932, \u0924\u0930 x \u0939\u0940 \u0915\u0930\u0923\u0940 (\u0905\u092a\u0930\u093f\u092e\u0947\u092f \u092e\u0942\u0933) \u0906\u0939\u0947 \u0905\u0938\u0947 \u092e\u094d\u0939\u0923\u0924\u093e\u0924.&nbsp;<\/p>\n\n\n\n<ul><li><strong>\u0915\u0947\u0935\u0932\u092e\u0942\u0932\u094d\u092f<\/strong><\/li><\/ul>\n\n\n\n<p>x \u0939\u0940 \u0935\u093e\u0938\u094d\u0924\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0938\u0947\u0932 \u0924\u0930 x \u091a\u0947 \u0915\u0947\u0935\u0932\u092e\u0942\u0932\u094d\u092f \u0915\u093f\u0902\u0935\u093e \u0938\u0902\u0916\u094d\u092f\u093e \u0930\u0947\u0937\u0947\u0935\u0930\u0940\u0932 \u0936\u0942\u0928\u094d\u092f\u093e\u092a\u093e\u0938\u0942\u0928\u091a\u0947 \u0924\u093f\u091a\u0947 \u0905\u0902\u0924\u0930 \u0964x\u0964 \u0905\u0938\u0947 \u0932\u093f\u0939\u093f\u0924\u093e\u0924. <strong>\u0964x\u0964 \u091a\u0947 \u0935\u093e\u091a\u0928 x \u091a\u0947 \u0915\u0947\u0935\u0932\u092e\u0942\u0932\u094d\u092f<\/strong> \u0905\u0938\u0947 \u0915\u0930\u0924\u093e\u0924.&nbsp;<\/p>\n\n\n\n<p>\u0915\u0947\u0935\u0932\u092e\u0942\u0932\u094d\u092f\u093e\u091a\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u092a\u0941\u0922\u0940\u0932\u092a\u094d\u0930\u092e\u093e\u0923\u0947 \u0915\u0930\u0924\u093e\u0924.<\/p>\n\n\n\n<p>\u091c\u0930 x &gt; 0 \u0924\u0930 \u0964x\u0964 = x \u091c\u0930 x \u0927\u0928 \u0905\u0938\u0947\u0932 \u0924\u0930 x \u091a\u0947 \u0915\u0947\u0935\u0932\u092e\u0942\u0932\u094d\u092f x \u0905\u0938\u0924\u0947.<\/p>\n\n\n\n<p>\u091c\u0930 x = 0 \u0924\u0930 \u0964x\u0964 = 0 \u091c\u0930 x \u0936\u0942\u0928\u094d\u092f \u0905\u0938\u0947\u0932 \u0924\u0930 x \u091a\u0947 \u0915\u0947\u0935\u0932\u092e\u0942\u0932\u094d\u092f \u0936\u0942\u0928\u094d\u092f\u091a \u0905\u0938\u0924\u0947.&nbsp;<\/p>\n\n\n\n<p>\u091c\u0930 x &lt; 0 \u0924\u0930 \u0964x\u0964 = -x \u091c\u0930 x \u090b\u0923 \u0905\u0938\u0947\u0932 \u0924\u0930 x \u091a\u0947 \u0915\u0947\u0935\u0932\u092e\u0942\u0932\u094d\u092f x \u091a\u094d\u092f\u093e \u0935\u093f\u0930\u0941\u0926\u094d\u0927 \u0938\u0902\u0916\u094d\u092f\u0947\u090f\u0935\u0922\u0947 \u0905\u0938\u0924\u0947.<\/p>\n\n\n\n<p>\u0932\u0915\u094d\u0937\u093e\u0924 \u0920\u0947\u0935\u093e: \u0915\u094b\u0923\u0924\u094d\u092f\u093e\u0939\u0940 \u0935\u093e\u0938\u094d\u0924\u0935 \u0938\u0902\u0916\u094d\u092f\u0947\u091a\u0947 \u0915\u0947\u0935\u0932\u092e\u0942\u0932\u094d\u092f \u090b\u0923 \u0928\u0938\u0924\u0947.<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>3. \u092c\u0939\u0941\u092a\u0926\u0940<\/strong><\/p>\n\n\n\n<ul><li>\u090f\u0915\u093e \u091a\u0932\u093e\u0924\u0940\u0932 \u092c\u0939\u0941\u092a\u0926\u0940 \u0924\u093f\u091a\u094d\u092f\u093e\u0924\u0940\u0932 \u091a\u0932\u093e\u0928\u0941\u0938\u093e\u0930 p(x) \u0905\u0936\u093e \u092a\u094d\u0930\u0915\u093e\u0930\u0947 \u0926\u0930\u094d\u0936\u0935\u0924\u093e\u0924.<\/li><\/ul>\n\n\n\n<p>p(x) = anxn + an-1xn-1 + \u2026.. + a2x2 + a1x + a0 ;<br><\/p>\n\n\n\n<p>\u092f\u0947\u0925\u0947 a0, a1, a2, &#8230;. an \u092f\u093e&nbsp; \u0938\u094d\u0925\u093f\u0930 \u0938\u0902\u0916\u094d\u092f\u093e \u0906\u0939\u0947\u0924 \u0906\u0923\u093f a n \u2260 0 \u0906\u0939\u0947.&nbsp;<\/p>\n\n\n\n<ul><li><strong>\u0936\u0947\u0937 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 (Remainder Theorem)<\/strong><\/li><\/ul>\n\n\n\n<p>\u092c\u0939\u0941\u092a\u0926\u0940 p(x) \u0939\u0940 \u090f\u0915 \u0915\u093f\u0902\u0935\u093e \u0905\u0927\u093f\u0915 \u0918\u093e\u0924\u093e\u0902\u0915\u093e\u091a\u0940 \u092c\u0939\u0941\u092a\u0926\u0940 \u0906\u0939\u0947 \u0906\u0923\u093f a \u0939\u0940 \u090f\u0915 \u0935\u093e\u0938\u094d\u0924\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u0906\u0939\u0947. \u091c\u0930 \u092c\u0939\u0941\u092a\u0926\u0940 p(x) \u0932\u093e \u090f\u0915 \u0930\u0947\u0937\u0940\u092f \u092c\u0939\u0941\u092a\u0926\u0940 x \u2013 a \u0928\u0947 \u092d\u093e\u0917 \u0926\u093f\u0932\u093e \u0924\u0930 p(a) \u0939\u0940 \u092c\u093e\u0915\u0940 \u092e\u093f\u0933\u0924\u0947. \u0924\u094d\u092f\u093e\u0932\u093e \u0936\u0947\u0937 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0905\u0938\u0947 \u092e\u094d\u0939\u091f\u0932\u0947 \u091c\u093e\u0924\u0947.&nbsp;<\/p>\n\n\n\n<ul><li><strong>\u0905\u0935\u092f\u0935 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 (Factor Theorem)<\/strong><\/li><\/ul>\n\n\n\n<p>p(x) \u0939\u0940 \u092c\u0939\u0941\u092a\u0926\u0940 \u0905\u0938\u0942\u0928 a \u0939\u0940 \u0915\u094b\u0923\u0924\u0940\u0939\u0940 \u0935\u093e\u0938\u094d\u0924\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0938\u0947\u0932 \u0906\u0923\u093f \u091c\u0930 p(a) = 0 \u0905\u0938\u0947\u0932, \u0924\u0930 (x &#8211; a) \u0939\u093e p(x) \u091a\u093e \u0905\u0935\u092f\u0935 \u0905\u0938\u0924\u094b. \u092f\u093e\u0909\u0932\u091f (x &#8211; a) \u0939\u093e p(x) \u092f\u093e \u092c\u0939\u0941\u092a\u0926\u0940\u091a\u093e \u0905\u0935\u092f\u0935 \u0905\u0938\u0947\u0932 \u0924\u0930 p(a) = 0 \u0905\u0938\u0924\u0947.<\/p>\n\n\n\n<ul><li><strong>\u092f\u0941\u0915\u094d\u0932\u093f\u0921\u091a\u093e \u092d\u093e\u0917\u093e\u0915\u093e\u0930 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/strong><\/li><\/ul>\n\n\n\n<p>\u091c\u0930 s(x) \u0906\u0923\u093f p(x) \u092f\u093e \u0926\u094b\u0928 \u092c\u0939\u0941\u092a\u0926\u0940 \u0905\u0938\u0924\u0940\u0932 \u0906\u0923\u093f s(x) \u091a\u0940 \u0915\u094b\u091f\u0940 p(x) \u091a\u094d\u092f\u093e \u0915\u094b\u091f\u0940\u090f\u0935\u0922\u0940 \u0915\u093f\u0902\u0935\u093e \u0924\u094d\u092f\u093e\u092a\u0947\u0915\u094d\u0937\u093e \u091c\u093e\u0938\u094d\u0924 \u0905\u0938\u0947\u0932, \u0906\u0923\u093f s(x) \u0932\u093e p(x) \u0928\u0947 \u092d\u093e\u0917\u0942\u0928 \u092f\u0947\u0923\u093e\u0930\u093e \u092d\u093e\u0917\u093e\u0915\u093e\u0930 q(x) \u0905\u0938\u0947\u0932, \u0924\u0930 s(x) = p(x) q(x)+r(x). \u092f\u0947\u0925\u0947 r(x) = 0 \u0915\u093f\u0902\u0935\u093e r(x) \u091a\u0940 \u0915\u094b\u091f\u0940 p(x) \u091a\u094d\u092f\u093e \u0915\u094b\u091f\u0940\u092a\u0947\u0915\u094d\u0937\u093e \u0915\u092e\u0940 \u0905\u0938\u0924\u0947.&nbsp;<\/p>\n\n\n\n<p><strong>4. \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0935 \u092a\u094d\u0930\u092e\u093e\u0923<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930\u093e\u091a\u0947 \u0938\u0942\u0924\u094d\u0930<\/strong><\/li><\/ul>\n\n\n\n<p><strong>a :b <\/strong><strong>a <\/strong><strong>b<\/strong><\/p>\n\n\n\n<ul><li><strong>\u092a\u094d\u0930\u092e\u093e\u0923\u093e\u091a\u0947 \u0938\u0942\u0924\u094d\u0930&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p><strong>a:b::c:d =<\/strong><strong>a <\/strong><strong>b <\/strong><strong>=<\/strong><strong>c<\/strong><strong>d<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0935\u094d\u092f\u0938\u094d\u0924 \u0915\u094d\u0930\u093f\u092f\u093e&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u091c\u0930&nbsp; <strong>a <\/strong><strong>b <\/strong><strong>=<\/strong><strong>c<\/strong><strong>d <\/strong><strong><\/strong>\u0905\u0938\u0947\u0932,<strong> <\/strong>\u0924\u0930 b a =d c<\/p>\n\n\n\n<ul><li><strong>\u092f\u094b\u0917 \u0915\u094d\u0930\u093f\u092f\u093e&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u091c\u0930&nbsp; <strong>a <\/strong><strong>b <\/strong><strong>=<\/strong><strong>c<\/strong><strong>d <\/strong><strong><\/strong>\u0905\u0938\u0947\u0932,<strong> <\/strong>\u0924\u0930 a +b b&nbsp; =C+d d<\/p>\n\n\n\n<ul><li><strong>\u090f\u0915\u093e\u0902\u0924\u0930 \u0915\u094d\u0930\u093f\u092f\u093e&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u091c\u0930&nbsp; <strong>a <\/strong><strong>b <\/strong><strong>=<\/strong><strong>c<\/strong><strong>d <\/strong><strong><\/strong>\u0905\u0938\u0947\u0932, \u0924\u0930 a&nbsp; c&nbsp; =b&nbsp; d<\/p>\n\n\n\n<ul><li><strong>\u0935\u093f\u092f\u094b\u0917 \u0915\u094d\u0930\u093f\u092f\u093e<\/strong><\/li><\/ul>\n\n\n\n<p>\u091c\u0930&nbsp; <strong>a <\/strong><strong>b <\/strong><strong>=<\/strong><strong>c<\/strong><strong>d <\/strong><strong><\/strong>\u0905\u0938\u0947\u0932, \u0924\u0930 a-b &nbsp; b &nbsp; =c &#8211; d&nbsp; d<\/p>\n\n\n\n<ul><li><strong>\u092f\u094b\u0917 &#8211; \u0935\u093f\u092f\u094b\u0917 \u0915\u094d\u0930\u093f\u092f\u093e<\/strong><\/li><\/ul>\n\n\n\n<p>\u091c\u0930&nbsp; <strong>a <\/strong><strong>b <\/strong><strong>=<\/strong><strong>c<\/strong><strong>d <\/strong><strong><\/strong>\u0905\u0938\u0947\u0932, \u0924\u0930 a+b &nbsp; a -b &nbsp; =c + d&nbsp; c-d<\/p>\n\n\n\n<ul><li><strong>\u0938\u092e\u093e\u0928 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930\u093e\u0902\u091a\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/strong><\/li><\/ul>\n\n\n\n<p>\u091c\u0930 a b =cd \u0905\u0938\u0947\u0932, \u0924\u0930 ab=a+c &nbsp; b+d &nbsp; =c d \u092f\u093e \u0917\u0941\u0923\u0927\u0930\u094d\u092e\u093e\u0932\u093e \u0938\u092e\u093e\u0928 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930\u093e\u0902\u091a\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u092e\u094d\u0939\u0923\u0924\u093e\u0924.<\/p>\n\n\n\n<p><strong>5. \u0926\u094b\u0928 \u091a\u0932\u093e\u0902\u0924\u0940\u0932 \u0930\u0947\u0937\u0940\u092f \u0938\u092e\u0940\u0915\u0930\u0923\u0947<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0926\u094b\u0928 \u091a\u0932\u093e\u0902\u0924\u0940\u0932 \u0930\u0947\u0937\u0940\u092f \u0938\u092e\u0940\u0915\u0930\u0923\u093e\u0902\u091a\u0947 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0930\u0942\u092a<\/strong><\/li><\/ul>\n\n\n\n<p>ax + by + c= 0 \u092f\u093e \u0938\u092e\u0940\u0915\u0930\u0923\u093e\u0924 a, b, c \u092f\u093e \u0935\u093e\u0938\u094d\u0924\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0938\u0924\u0940\u0932 \u0906\u0923\u093f a \u0935 b \u090f\u0915\u093e\u091a \u0935\u0947\u0933\u0940 0 \u0928\u0938\u0924\u0940\u0932 \u0924\u0930 \u0939\u0947 \u0938\u092e\u0940\u0915\u0930\u0923 \u0926\u094b\u0928 \u091a\u0932\u093e\u0902\u0924\u0940\u0932 \u0930\u0947\u0937\u0940\u092f \u0938\u092e\u0940\u0915\u0930\u0923\u093e\u091a\u0947 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0930\u0942\u092a \u0905\u0938\u0924\u0947.<\/p>\n\n\n\n<ul><li><strong>\u091a\u0932\u093e\u091a\u093e \u0932\u094b\u092a \u0915\u0930\u0942\u0928 \u090f\u0915\u0938\u093e\u092e\u093e\u092f\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0938\u094b\u0921\u0935\u0923\u094d\u092f\u093e\u091a\u0940 \u092a\u0926\u094d\u0927\u0924 (Elimination method)<\/strong><\/li><\/ul>\n\n\n\n<p>\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u0940\u0924 \u0926\u094b\u0928\u092a\u0948\u0915\u0940 \u090f\u0915\u093e \u091a\u0932\u093e\u091a\u093e \u0932\u094b\u092a \u0915\u0930\u0942\u0928 \u090f\u0915\u093e \u091a\u0932\u093e\u0924\u0940\u0932 \u0930\u0947\u0937\u0940\u092f \u0938\u092e\u0940\u0915\u0930\u0923 \u092e\u093f\u0933\u0935\u0924\u093e\u0924. \u0924\u094d\u092f\u093e\u0935\u0930\u0942\u0928 \u0924\u094d\u092f\u093e \u091a\u0932\u093e\u091a\u0940 \u0915\u093f\u0902\u092e\u0924 \u0915\u093e\u0922\u0924\u093e\u0924. \u0939\u0940 \u0915\u093f\u0902\u092e\u0924 \u0926\u093f\u0932\u0947\u0932\u094d\u092f\u093e\u092a\u0948\u0915\u0940 \u0915\u094b\u0923\u0924\u094d\u092f\u093e\u0939\u0940 \u0938\u092e\u0940\u0915\u0930\u0923\u093e\u0924 \u092e\u093e\u0902\u0921\u0932\u0940 \u0915\u0940 \u0926\u0941\u0938\u0931\u094d\u092f\u093e \u091a\u0932\u093e\u091a\u0940 \u0915\u093f\u0902\u092e\u0924 \u092e\u093f\u0933\u0924\u0947.&nbsp;<\/p>\n\n\n\n<ul><li><strong>\u090f\u0915\u093e \u091a\u0932\u093e\u091a\u0940 \u0915\u093f\u0902\u092e\u0924 \u0926\u0941\u0938\u0931\u094d\u092f\u093e \u091a\u0932\u093e\u091a\u094d\u092f\u093e \u0930\u0942\u092a\u093e\u0924 \u0920\u0947\u0935\u0942\u0928 \u091a\u0932\u093e\u091a\u093e \u0932\u094b\u092a \u0915\u0930\u0923\u0947 (Substitution method)&nbsp;&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u091a\u0932\u093e\u091a\u093e \u0932\u094b\u092a \u0915\u0930\u0923\u094d\u092f\u093e\u091a\u0940 \u0905\u091c\u0942\u0928 \u090f\u0915 \u092a\u0926\u094d\u0927\u0924 \u0906\u0939\u0947. \u0938\u092e\u0940\u0915\u0930\u0923\u093e\u0924\u0940\u0932 \u090f\u0915\u093e \u091a\u0932\u093e\u091a\u0940 \u0915\u093f\u0902\u092e\u0924 \u0926\u0941\u0938\u0931\u094d\u092f\u093e \u091a\u0932\u093e\u091a\u094d\u092f\u093e \u0930\u0942\u092a\u093e\u0924 \u0915\u093e\u0922\u0942\u0928 \u0924\u0940 \u0926\u0941\u0938\u0931\u094d\u092f\u093e \u0938\u092e\u0940\u0915\u0930\u0923\u093e\u0924 \u0920\u0947\u0935\u0942\u0928 \u092a\u0939\u093f\u0932\u094d\u092f\u093e \u091a\u0932\u093e\u091a\u093e \u0932\u094b\u092a \u0915\u0930\u0924\u093e \u092f\u0947\u0924\u094b.<\/p>\n\n\n\n<p><strong>6. \u0905\u0930\u094d\u0925\u0928\u093f\u092f\u094b\u091c\u0928<\/strong><\/p>\n\n\n\n<ul><li>\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0917\u0941\u0902\u0924\u0935\u0923\u0942\u0915\u0926\u093e\u0930 \u0906\u0935\u0936\u094d\u092f\u0915 \u0924\u0947\u0935\u0922\u0940 \u0930\u0915\u094d\u0915\u092e \u0916\u0930\u094d\u091a \u0915\u0930\u0924\u094b \u0906\u0923\u093f \u0909\u0930\u0932\u0947\u0932\u094d\u092f\u093e \u0930\u0915\u092e\u0947\u091a\u0940 \u092c\u091a\u0924 \u0915\u0930\u0924\u094b, \u0924\u0938\u0947\u091a \u092c\u091a\u0924 \u0915\u0947\u0932\u0947\u0932\u094d\u092f\u093e \u0930\u0915\u092e\u0947\u091a\u0940 \u0935\u093f\u091a\u093e\u0930\u092a\u0942\u0930\u094d\u0935\u0915 \u0917\u0941\u0902\u0924\u0935\u0923\u0942\u0915\u0939\u0940 \u0915\u0930\u0924\u094b. \u092f\u093e\u0932\u093e \u2018<strong>\u0905\u0930\u094d\u0925\u0928\u093f\u092f\u094b\u091c\u0928<\/strong>\u2019 \u092e\u094d\u0939\u0923\u0924\u093e\u0924.<\/li><\/ul>\n\n\n\n<ul><li>\u0906\u092f\u0915\u0930 \u0905\u0927\u093f\u0928\u093f\u092f\u092e\u093e\u0902\u091a\u094d\u092f\u093e 80C, 80D, 80G \u0907\u0924\u094d\u092f\u093e\u0926\u0940 \u0915\u0932\u092e\u093e\u0902\u0928\u093e \u0905\u0928\u0941\u0938\u0930\u0942\u0928 \u090f\u0915\u0942\u0923 \u0935\u093e\u0930\u094d\u0937\u093f\u0915 \u0909\u0924\u094d\u092a\u0928\u094d\u0928\u093e\u0924\u0942\u0928 \u0915\u093e\u0939\u0940 \u0935\u091c\u093e\u0935\u091f \u092e\u093f\u0933\u0924\u0947. \u0939\u0940 \u0935\u091c\u093e\u0935\u091f \u0915\u0930\u0942\u0928 \u0909\u0930\u0932\u0947\u0932\u094d\u092f\u093e \u0909\u0924\u094d\u092a\u0928\u094d\u0928\u093e\u0932\u093e \u2018<strong>\u0915\u0930\u092a\u093e\u0924\u094d\u0930 \u0909\u0924\u094d\u092a\u0928\u094d\u0928<\/strong>\u2019 \u092e\u094d\u0939\u0923\u0924\u093e\u0924.&nbsp;<\/li><\/ul>\n\n\n\n<ul><li>\u0915\u0930\u092a\u093e\u0924\u094d\u0930 \u0909\u0924\u094d\u092a\u0928\u094d\u0928\u093e\u092a\u0948\u0915\u0940 \u0920\u0930\u093e\u0935\u0940\u0915 \u092e\u0930\u094d\u092f\u093e\u0926\u0947\u092a\u0930\u094d\u092f\u0902\u0924\u091a\u094d\u092f\u093e \u0930\u0915\u092e\u0947\u0935\u0930 \u0915\u0930 \u0906\u0915\u093e\u0930\u0932\u093e \u091c\u093e\u0924 \u0928\u093e\u0939\u0940. \u092f\u093e \u0930\u0915\u092e\u0947\u0938 \u0915\u0930\u092a\u093e\u0924\u094d\u0930 \u0909\u0924\u094d\u092a\u0928\u094d\u0928\u093e\u0924\u0940\u0932 \u2018<strong>\u092e\u0942\u0933 \u0938\u0935\u0932\u0924 \u0930\u0915\u094d\u0915\u092e\u2019<\/strong> \u0905\u0938\u0947 \u092e\u094d\u0939\u0923\u0924\u093e\u0924.&nbsp;<\/li><\/ul>\n\n\n\n<ul><li>\u092c\u091a\u0924 =&nbsp; \u0909\u0924\u094d\u092a\u0928\u094d\u0928 &#8211; \u0916\u0930\u094d\u091a<\/li><\/ul>\n\n\n\n<ul><li>\u0915\u0930\u092a\u093e\u0924\u094d\u0930 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 = \u0935\u093e\u0930\u094d\u0937\u093f\u0915 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 &#8211; \u090f\u0915\u0942\u0923 \u0917\u0941\u0902\u0924\u0935\u0923\u0942\u0915<\/li><\/ul>\n\n\n\n<ul><li>\u091a\u0915\u094d\u0930\u0935\u093e\u0922 \u0935\u094d\u092f\u093e\u091c = \u0930\u093e\u0938 &#8211; \u092e\u0941\u0926\u094d\u0926\u0932<\/li><\/ul>\n\n\n\n<p><strong>7. \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940<\/strong><\/p>\n\n\n\n<ul><li><strong>\u092e\u0927\u094d\u092f (Mean)<\/strong><\/li><\/ul>\n\n\n\n<p>\u0938\u093e\u092e\u0917\u094d\u0930\u0940\u0924\u0940\u0932 \u0938\u0930\u094d\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0902\u091a\u094d\u092f\u093e \u0905\u0902\u0915\u0917\u0923\u093f\u0924\u0940\u092f \u0938\u0930\u093e\u0938\u0930\u0940\u0932\u093e \u0924\u094d\u092f\u093e \u0938\u093e\u092e\u0917\u094d\u0930\u0940\u091a\u093e \u092e\u0927\u094d\u092f \u0905\u0938\u0947 \u092e\u094d\u0939\u0923\u0924\u093e\u0924.&nbsp;<\/p>\n\n\n\n<p>\u0938\u093e\u092e\u0917\u094d\u0930\u0940\u091a\u093e \u2018\u092e\u0927\u094d\u092f\u2019 = \u0938\u093e\u092e\u0917\u094d\u0930\u0940\u0924\u0940\u0932 \u0938\u0930\u094d\u0935 \u092a\u094d\u0930\u093e\u092a\u094d\u0924\u093e\u0902\u0915\u093e\u0902\u091a\u0940 \u092c\u0947\u0930\u0940\u091c\u0938\u093e\u092e\u0917\u094d\u0930\u0940\u0924\u0940\u0932 \u092a\u094d\u0930\u093e\u092a\u094d\u0924\u093e\u0902\u0915\u093e\u091a\u0940 \u090f\u0915\u0942\u0923 \u0938\u0902\u0916\u094d\u092f\u093e<\/p>\n\n\n\n<p>x =fi xi N<\/p>\n\n\n\n<ul><li><strong>\u092e\u0927\u094d\u092f\u0915 (Median)<\/strong>&nbsp;<\/li><\/ul>\n\n\n\n<p>\u0938\u093e\u092e\u0917\u094d\u0930\u0940\u0924\u0940\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u091a\u0922\u0924\u094d\u092f\u093e (\u0915\u093f\u0902\u0935\u093e \u0909\u0924\u0930\u0924\u094d\u092f\u093e) \u0915\u094d\u0930\u092e\u093e\u0928\u0947 \u092e\u093e\u0902\u0921\u0924\u093e\u0924. \u092f\u093e \u092e\u093e\u0902\u0921\u0923\u0940\u0924\u0940\u0932 \u092e\u0927\u094d\u092f \u092d\u093e\u0917\u0940 \u092f\u0947\u0923\u093e\u0931\u094d\u092f\u093e \u0938\u0902\u0916\u094d\u092f\u0947\u0932\u093e \u0924\u094d\u092f\u093e \u0938\u093e\u092e\u0917\u094d\u0930\u0940\u091a\u093e \u092e\u0927\u094d\u092f\u0915 \u092e\u094d\u0939\u0923\u0924\u093e\u0924.&nbsp;<\/p>\n\n\n\n<p>\u092e\u0927\u094d\u092f\u0915 =(n +1)2 \u0935\u0947 \u092a\u0926 \u2014 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e&nbsp;<\/p>\n\n\n\n<p>\u092e\u0927\u094d\u092f\u0915 =&nbsp; n 2 \u0935\u0947 \u092a\u0926 + n 2 + 1 \u0935\u0947 \u092a\u0926 2 \u2014 \u0938\u092e \u0938\u0902\u0916\u094d\u092f\u093e&nbsp;<\/p>\n\n\n\n<ul><li><strong>\u092c\u0939\u0941\u0932\u0915 (Mode)<\/strong><\/li><\/ul>\n\n\n\n<p>\u0938\u093e\u092e\u0917\u094d\u0930\u0940\u092e\u0927\u094d\u092f\u0947 \u0938\u0930\u094d\u0935\u093e\u0927\u093f\u0915 \u0935\u0947\u0933\u093e \u092f\u0947\u0923\u093e\u0930\u093e \u092a\u094d\u0930\u093e\u092a\u094d\u0924\u093e\u0902\u0915 \u092e\u094d\u0939\u0923\u091c\u0947 \u0924\u094d\u092f\u093e \u0938\u093e\u092e\u0917\u094d\u0930\u0940\u091a\u093e \u092c\u0939\u0941\u0932\u0915 \u0939\u094b\u092f.&nbsp;<\/p>\n\n\n\n<p>\u092c\u0939\u0941\u0932\u0915 = L +f 1- f02f1-2f0-f2h<\/p>\n\n\n\n<p><strong>\u0917\u0923\u093f\u0924 \u092d\u093e\u0917 -2 \u0935\u093f\u0937\u092f\u093e\u0924\u0940\u0932 \u0915\u093e\u0939\u0940 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u0940 \u0938\u0942\u0924\u094d\u0930\u0947<\/strong><\/p>\n\n\n\n<p><strong>1. \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u0940:<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u0940\u092f \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930\u0947 (Trigonometric ratios)&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>sin = \u0915\u094b\u0928\u093e\u0938\u092e\u094b\u0930\u0940\u0932 \u092c\u093e\u091c\u0942\u0915\u0930\u094d\u0923<\/p>\n\n\n\n<p><strong>cos = <\/strong><strong>\u0915\u094b\u0928\u093e\u0932\u0917\u0924\u091a\u0940 \u092c\u093e\u091c\u0942 <\/strong><strong>\u0915\u0930\u094d\u0923<\/strong><\/p>\n\n\n\n<p><strong>tan = <\/strong><strong>\u0915\u094b\u0928\u093e\u0938\u092e\u094b\u0930\u0940\u0932 \u092c\u093e\u091c\u0942 <\/strong><strong>\u0915\u094b\u0928\u093e\u0932\u0917\u0924\u091a\u0940 \u092c\u093e\u091c\u0942&nbsp; <\/strong><strong>&nbsp;<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u0940\u092f \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930\u093e\u0902\u092e\u0927\u0940\u0932 \u0938\u0902\u092c\u0902\u0927 (Relations among trigonometric ratios)<\/strong><\/li><\/ul>\n\n\n\n<p><strong>cos (90 &#8211; <\/strong><strong>) = sin<\/strong><\/p>\n\n\n\n<p><strong>sin (90 &#8211; <\/strong><strong>) = cos<\/strong><\/p>\n\n\n\n<p><strong>sin<\/strong><strong>cos<\/strong><strong> =tan<\/strong><\/p>\n\n\n\n<p><strong>tan <\/strong><strong><\/strong><strong>tan(90 &#8211; <\/strong><strong>) = 1<\/strong><\/p>\n\n\n\n<p><strong>1<\/strong><strong>sin<\/strong><strong> =cosec<\/strong><\/p>\n\n\n\n<p><strong>1<\/strong><strong>cos<\/strong><strong> =sec<\/strong><\/p>\n\n\n\n<p><strong>1<\/strong><strong>tan<\/strong><strong> =cot<\/strong><\/p>\n\n\n\n<p>\u092e\u094d\u0939\u0923\u091c\u0947\u091a, cosec, sec \u0906\u0923\u093f cot \u0939\u0940 sin, cos \u0906\u0923\u093f tan \u092f\u093e\u0902\u091a\u0940 \u0935\u094d\u092f\u0938\u094d\u0924 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930\u0947 \u0906\u0939\u0947\u0924.<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>sec<\/strong><strong> = cosec(90-<\/strong><strong>)<\/strong><\/p>\n\n\n\n<p><strong>cosec<\/strong><strong> = sec(90-<\/strong><strong>)<\/strong><\/p>\n\n\n\n<p><strong>tan<\/strong><strong> = cot(90-<\/strong><strong>)<\/strong><\/p>\n\n\n\n<p><strong>cot<\/strong><strong> = tan(90-<\/strong><strong>)<\/strong><\/p>\n\n\n\n<ul><li>30\u00b0 \u0935 60\u00b0 \u092f\u093e \u0915\u094b\u0928\u093e\u0902\u091a\u0940 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u0940\u092f \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930\u0947<\/li><\/ul>\n\n\n\n<style type=\"text\/css\">\n.tg  {border-collapse:collapse;border-spacing:0;}\n.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;\n  overflow:hidden;padding:10px 5px;word-break:normal;}\n.tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;\n  font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;}\n.tg .tg-baqh{text-align:center;vertical-align:top}\n<\/style>\n<table class=\"tg\">\n<thead>\n  <tr>\n    <th class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">sin30o = 12<\/span><\/th>\n    <th class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">cos30o = 32<\/span><\/th>\n    <th class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">tan30o = 13<\/span><\/th>\n  <\/tr>\n<\/thead>\n<tbody>\n  <tr>\n    <td class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">sin60o =32  <\/span><\/td>\n    <td class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">cos60o=12<\/span><\/td>\n    <td class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">tan60o = 3<\/span><\/td>\n  <\/tr>\n<\/tbody>\n<\/table>\n\n\n\n<ul><li><strong>45\u00b0 \u092e\u093e\u092a\u093e\u091a\u094d\u092f\u093e \u0915\u094b\u0928\u093e\u091a\u0940 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u0940\u092f \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930\u0947<\/strong><\/li><\/ul>\n\n\n\n<style type=\"text\/css\">\n.tg  {border-collapse:collapse;border-spacing:0;}\n.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;\n  overflow:hidden;padding:10px 5px;word-break:normal;}\n.tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;\n  font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;}\n.tg .tg-baqh{text-align:center;vertical-align:top}\n<\/style>\n<table class=\"tg\">\n<thead>\n  <tr>\n    <td class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">sin45o = 12<\/span><\/td>\n    <td class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">cos45o= 12<\/span><\/td>\n    <td class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">tan30o = 1<\/span><\/td>\n  <\/tr>\n<\/thead>\n<\/table>\n\n\n\n<ul><li><strong>0\u00b0 \u0935 90\u00b0 \u092e\u093e\u092a\u093e\u0902\u091a\u094d\u092f\u093e \u0915\u094b\u0928\u093e\u0902\u091a\u0940 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u0940\u092f \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930\u0947<\/strong><\/li><\/ul>\n\n\n\n<style type=\"text\/css\">\n.tg  {border-collapse:collapse;border-spacing:0;}\n.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;\n  overflow:hidden;padding:10px 5px;word-break:normal;}\n.tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;\n  font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;}\n.tg .tg-baqh{text-align:center;vertical-align:top}\n<\/style>\n<table class=\"tg\">\n<thead>\n  <tr>\n    <td class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">sin0o = 0<\/span><\/td>\n    <td class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">sin90o = 1<\/span><\/td>\n    <td class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">cos0o = 1<\/span><\/td>\n    <td class=\"tg-baqh\"><span style=\"font-weight:400;font-style:normal;text-decoration:none;color:#000;background-color:transparent\">cos90o = 0<\/span><\/td>\n  <\/tr>\n<\/thead>\n<\/table>\n\n\n\n<ul><li><strong>\u0935\u093f\u0936\u093f\u0937\u094d\u091f \u092e\u093e\u092a\u093e\u091a\u094d\u092f\u093e \u0915\u094b\u0928\u093e\u0902\u091a\u0940 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u0940\u092f \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930\u0947<\/strong><\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"933\" height=\"309\" src=\"https:\/\/www.embibe.com\/in-mr\/wp-content\/uploads\/2022\/08\/Screenshot-2022-08-26-163102.png\" alt=\"\" class=\"wp-image-1776\"\/><\/figure>\n\n\n\n<p><strong>2. \u092a\u0943\u0937\u094d\u0920\u092b\u0933 \u0935 \u0918\u0928\u092b\u0933<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0907\u0937\u094d\u091f\u093f\u0915\u093e\u091a\u093f\u0924\u0940&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u0907\u0937\u094d\u091f\u093f\u0915\u093e\u091a\u093f\u0924\u0940\u091a\u094d\u092f\u093e \u0909\u092d\u094d\u092f\u093e \u092a\u0943\u0937\u094d\u0920\u093e\u0902\u091a\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0933 = 2(l + b) h<\/p>\n\n\n\n<p>\u0907\u0937\u094d\u091f\u093f\u0915\u093e\u091a\u093f\u0924\u0940\u091a\u0947 \u090f\u0915\u0942\u0923 \u092a\u0943\u0937\u094d\u0920\u092b\u0933 = 2(lb + bh + lh)<\/p>\n\n\n\n<p>\u0907\u0937\u094d\u091f\u093f\u0915\u093e\u091a\u093f\u0924\u0940\u091a\u0947 \u0918\u0928\u092b\u0933 = l b h<\/p>\n\n\n\n<ul><li><strong>\u0918\u0928<\/strong><\/li><\/ul>\n\n\n\n<p>\u0918\u0928\u093e\u091a\u0947 \u090f\u0915\u0942\u0923 \u092a\u0943\u0937\u094d\u0920\u092b\u0933 = 6l2&nbsp;<\/p>\n\n\n\n<p>\u0918\u0928\u093e\u091a\u0947 \u0909\u092d\u0947 \u092a\u0943\u0937\u094d\u0920\u092b\u0933 = 4l2<\/p>\n\n\n\n<p>\u0918\u0928\u093e\u091a\u0947 \u0918\u0928\u092b\u0933 = l3<\/p>\n\n\n\n<ul><li><strong>\u0935\u0943\u0924\u094d\u0924\u091a\u093f\u0924\u0940<\/strong><\/li><\/ul>\n\n\n\n<p>\u0935\u0943\u0924\u094d\u0924\u091a\u093f\u0924\u0940\u091a\u0947 \u0935\u0915\u094d\u0930\u092a\u0943\u0937\u094d\u0920\u092b\u0933 = 2rh<\/p>\n\n\n\n<p>\u0935\u0943\u0924\u094d\u0924\u091a\u093f\u0924\u0940\u091a\u0947 \u090f\u0915\u0942\u0923 \u092a\u0943\u0937\u094d\u0920\u092b\u0933 = 2r(r + h)&nbsp;<\/p>\n\n\n\n<p>\u0935\u0943\u0924\u094d\u0924\u091a\u093f\u0924\u0940\u091a\u0947 \u0918\u0928\u092b\u0933 = r2h<\/p>\n\n\n\n<ul><li><strong>\u0936\u0902\u0915\u0942<\/strong><\/li><\/ul>\n\n\n\n<p>\u0936\u0902\u0915\u0942\u091a\u094d\u092f\u093e \u0924\u0933\u093e\u091a\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0933 =<strong>r<\/strong><strong>2<\/strong><\/p>\n\n\n\n<p>\u0936\u0902\u0915\u0942\u091a\u0947 \u0935\u0915\u094d\u0930\u092a\u0943\u0937\u094d\u0920\u092b\u0933 =rl<\/p>\n\n\n\n<p>\u0936\u0902\u0915\u0942\u091a\u0947 \u090f\u0915\u0942\u0923 \u092a\u0943\u0937\u094d\u0920\u092b\u0933&nbsp; <strong>= <\/strong><strong>r(l + r)<\/strong><\/p>\n\n\n\n<p>\u0936\u0902\u0915\u0942\u091a\u0947 \u0918\u0928\u092b\u0933 =13<strong>r<\/strong><strong>2<\/strong><strong>h<\/strong><\/p>\n\n\n\n<p>\u0936\u0902\u0915\u0942\u091a\u0940 \u0924\u093f\u0930\u0915\u0938 \u0909\u0902\u091a\u0940 =(\u0924\u093f\u0930\u0915\u0938 \u0909\u0902\u091a\u0940)2= (\u0932\u0902\u092c \u0909\u0902\u091a\u0940)2 + (\u0924\u0933\u093e\u091a\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e)2<\/p>\n\n\n\n<ul><li><strong>\u0917\u094b\u0932<\/strong><\/li><\/ul>\n\n\n\n<p>\u092a\u094b\u0915\u0933 \u0917\u094b\u0932\u093e\u091a\u0947 \u0935\u0915\u094d\u0930\u092a\u0943\u0937\u094d\u0920\u092b\u0933<strong> <\/strong><strong>=4<\/strong><strong>r<\/strong><strong>2<\/strong><\/p>\n\n\n\n<p>\u0905\u0930\u094d\u0927\u0917\u094b\u0932\u093e\u091a\u0947 \u0935\u0915\u094d\u0930\u092a\u0943\u0937\u094d\u0920\u092b\u0933<strong> <\/strong><strong>=2<\/strong><strong>r<\/strong><strong>2<\/strong><strong><\/strong><\/p>\n\n\n\n<p>\u092d\u0930\u0940\u0935 \u0905\u0930\u094d\u0927\u0917\u094b\u0932\u093e\u091a\u0947 \u090f\u0915\u0942\u0923 \u092a\u0943\u0937\u094d\u0920\u092b\u0933<strong> <\/strong><strong>=2<\/strong><strong>r<\/strong><strong>2<\/strong><strong> +<\/strong><strong>r<\/strong><strong>2<\/strong><strong>=3<\/strong><strong>r<\/strong><strong>2<\/strong><\/p>\n\n\n\n<p>\u0917\u094b\u0932\u093e\u091a\u0947 \u0918\u0928\u092b\u0933<strong> <\/strong><strong>=<\/strong><strong>4<\/strong><strong>3<\/strong><strong> <\/strong><strong>r<\/strong><strong>3<\/strong><\/p>\n\n\n\n<p>\u0905\u0930\u094d\u0927\u0917\u094b\u0932\u093e\u091a\u0947 \u0918\u0928\u092b\u0933<strong> <\/strong><strong>=<\/strong><strong>2<\/strong><strong>3<\/strong><strong>r<\/strong><strong>3<\/strong><strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092c\u094b\u0930\u094d\u0921 \u0907\u092f\u0924\u094d\u0924\u093e \u0926\u0939\u093e\u0935\u0940 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u0935\u093f\u0937\u092f\u093e\u0924\u0940\u0932 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u0940 \u0938\u0942\u0924\u094d\u0930\u0947<\/strong><\/h2>\n\n\n\n<p>\u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092c\u094b\u0930\u094d\u0921 \u0907\u092f\u0924\u094d\u0924\u093e 9 \u0935\u0940 2023 \u092a\u0930\u0940\u0915\u094d\u0937\u0947\u091a\u0940 \u0924\u092f\u093e\u0930\u0940 \u0915\u0930\u0923\u093e\u0930\u094d\u200d\u092f\u093e \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u094d\u092f\u093e\u0902\u0938\u093e\u0920\u0940 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u0935\u093f\u0937\u092f\u093e\u0924\u0940\u0932 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u0940 \u0938\u0942\u0924\u094d\u0930\u0947 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0920\u0930\u0924\u093e\u0924. \u092f\u093e\u092e\u0941\u0933\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u094d\u092f\u093e\u0902\u0928\u093e \u0924\u094d\u0935\u0930\u093f\u0924 \u0915\u0949\u0928\u094d\u0938\u0947\u092a\u094d\u091f \u0938\u092e\u091c\u0942\u0928 \u0918\u0947\u0923\u094d\u092f\u093e\u0938 \u0906\u0923\u093f \u091a\u093e\u0902\u0917\u0932\u0947 \u0917\u0941\u0923 \u092e\u093f\u0933\u0935\u0923\u094d\u092f\u093e\u0938 \u092e\u0926\u0924 \u0939\u094b\u0924\u0947. \u0935\u093f\u091c\u094d\u091e\u093e\u0928\u093e\u0924\u0940\u0932 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u094d\u092f\u093e \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u094d\u092f\u093e \u092e\u0926\u0924\u0940\u0928\u0947 \u0907\u092f\u0924\u094d\u0924\u093e 9 \u0935\u0940 \u092e\u0927\u0940\u0932 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0905\u092d\u094d\u092f\u093e\u0938\u0915\u094d\u0930\u092e \u0938\u092e\u091c\u0942\u0928 \u0918\u0947\u090a \u0936\u0915\u0924\u093e\u0924 \u0906\u0923\u093f \u0924\u094d\u092f\u093e\u0928\u0941\u0938\u093e\u0930 \u0924\u094d\u092f\u093e\u0902\u091a\u094d\u092f\u093e \u0905\u092d\u094d\u092f\u093e\u0938\u093e\u091a\u0940 \u092f\u094b\u091c\u0928\u093e \u0924\u092f\u093e\u0930 \u0915\u0930\u0942 \u0936\u0915\u0924\u093e\u0924. \u0906\u092e\u094d\u0939\u0940 Embibe \u092a\u094d\u0932\u0945\u091f\u092b\u0949\u0930\u094d\u092e \u0935\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f 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\u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u0940 \u0938\u0942\u0924\u094d\u0930\u0947-\u0927\u0921\u094d\u092f\u093e\u0928\u0941\u0938\u093e\u0930<\/strong><\/p>\n\n\n\n<p>\u092d\u094c\u0924\u093f\u0915\u0936\u093e\u0938\u094d\u0924\u094d\u0930 \u0930\u0938\u093e\u092f\u0928\u0936\u093e\u0938\u094d\u0924\u094d\u0930 \u0906\u0923\u093f \u091c\u0940\u0935\u0936\u093e\u0938\u094d\u0924\u094d\u0930 \u092f\u093e \u0938\u0930\u094d\u0935 \u0935\u093f\u0937\u092f\u093e\u0902\u091a\u093e \u0938\u092e\u093e\u0935\u0947\u0936 \u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092c\u094b\u0930\u094d\u0921 \u0907\u092f\u0924\u094d\u0924\u093e \u0928\u0935\u0935\u0940 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0935\u093f\u0937\u092f\u093e\u092e\u0927\u094d\u092f\u0947 \u0915\u0947\u0932\u093e \u091c\u093e\u0924\u094b. 9 \u0935\u0940 \u091a\u094d\u092f\u093e \u092a\u0930\u0940\u0915\u094d\u0937\u0947\u0924 \u0905\u0927\u093f\u0915 \u0917\u0941\u0923 \u092e\u093f\u0933\u0935\u093f\u0923\u094d\u092f\u093e\u0938\u093e\u0920\u0940, \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u094d\u092f\u093e\u0902\u0928\u093e \u0905\u092d\u094d\u092f\u093e\u0938\u0915\u094d\u0930\u092e\u093e\u0935\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0907\u092f\u0924\u094d\u0924\u093e \u0928\u0935\u0935\u0940\u0924\u0940\u0932 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u094d\u092f\u093e \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u0940 \u092a\u0942\u0930\u094d\u0923 \u092e\u093e\u0939\u093f\u0924\u0940 \u0905\u0938\u0923\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0906\u0939\u0947. \u0906\u092a\u0932\u094d\u092f\u093e \u092a\u0930\u0940\u0915\u094d\u0937\u0947\u091a\u094d\u092f\u093e \u0924\u092f\u093e\u0930\u0940\u0924 \u092e\u0926\u0924 \u0915\u0930\u0923\u094d\u092f\u093e\u0938\u093e\u0920\u0940 \u0906\u092e\u094d\u0939\u0940 Embibe \u092a\u094d\u0932\u0945\u091f\u092b\u0949\u0930\u094d\u092e\u0935\u0930 \u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092c\u094b\u0930\u094d\u0921 \u0907\u092f\u0924\u094d\u0924\u093e 9 \u0935\u0940 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0935\u093f\u0937\u092f\u093e\u091a\u0940 \u0938\u0930\u094d\u0935 \u0938\u0942\u0924\u094d\u0930\u0947 \u0938\u092e\u093e\u0935\u093f\u0937\u094d\u091f \u0915\u0947\u0932\u0940 \u0906\u0939\u0947\u0924.&nbsp;<\/p>\n\n\n\n<p>\u092f\u093e \u092a\u0930\u0940\u0915\u094d\u0937\u0947\u092e\u0927\u094d\u092f\u0947 \u092f\u093e \u0935\u093f\u0937\u092f\u093e\u0938\u093e\u0920\u0940 2 \u0924\u093e\u0938 \u0905\u0938\u0924\u093e\u0924 \u0906\u0923\u093f \u092a\u0930\u0940\u0915\u094d\u0937\u0947\u0926\u0930\u092e\u094d\u092f\u093e\u0928 \u0935\u0947\u0933\u0947\u091a\u0947 \u0928\u093f\u092f\u094b\u091c\u0928 \u0915\u0930\u0923\u094d\u092f\u093e\u0938\u093e\u0920\u0940, \u0906\u092a\u0932\u094d\u092f\u093e\u0932\u093e \u0938\u0930\u094d\u0935 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u094d\u092f\u093e \u0915\u0949\u0928\u094d\u0938\u0947\u092a\u094d\u091f \u0906\u0923\u093f \u0924\u094d\u092f\u093e\u0902\u091a\u094d\u092f\u093e \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u0940 \u092e\u093e\u0939\u093f\u0924\u0940 \u0905\u0938\u0923\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0905\u0938\u0924\u0947. \u0907\u092f\u0924\u094d\u0924\u093e 9 \u0935\u0940 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0935\u093f\u0937\u092f\u093e\u0924\u0940\u0932 \u0938\u0942\u0924\u094d\u0930\u0947 \u0936\u093f\u0915\u0923\u094d\u092f\u093e\u0938\u093e\u0920\u0940, \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 Embibe \u0928\u0947 \u0924\u092f\u093e\u0930 \u0915\u0947\u0932\u0947\u0932\u094d\u092f\u093e \u0916\u093e\u0938 \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0942 \u0936\u0915\u0924\u093e\u0924.&nbsp;<\/p>\n\n\n\n<p><strong>1. \u0917\u0924\u0940\u091a\u0947 \u0928\u093f\u092f\u092e<\/strong><\/p>\n\n\n\n<ul><li><strong>\u091a\u093e\u0932 =<\/strong><strong> <\/strong><strong>\u0915\u093e\u092a\u0932\u0947\u0932\u0947 \u090f\u0915\u0942\u0923 \u0905\u0902\u0924\u0930<\/strong><strong>\u0932\u093e\u0917\u0932\u0947\u0932\u093e \u090f\u0915\u0942\u0923 \u0915\u093e\u0932\u093e\u0935\u0927\u0940<\/strong><\/li><\/ul>\n\n\n\n<ul><li><strong>\u0935\u0947\u0917 =<\/strong><strong> <\/strong><strong>\u0935\u093f\u0938\u094d\u0925\u093e\u092a\u0928 <\/strong><strong>\u0935\u0947\u0933<\/strong><\/li><\/ul>\n\n\n\n<ul><li><strong>\u0924\u094d\u0935\u0930\u0923 = <\/strong><strong><\/strong><strong>\u0935\u0947\u0917\u093e\u0924\u0940\u0932 \u092c\u0926\u0932&nbsp; <\/strong><strong>\u0915\u093e\u0932&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u091c\u0930 u \u0939\u093e \u0938\u0941\u0930\u0941\u0935\u093e\u0924\u0940\u091a\u093e \u0935\u0947\u0917, t \u092f\u093e \u0915\u093e\u0932\u093e\u0935\u0927\u0940\u0928\u0902\u0924\u0930 \u092c\u0926\u0932\u0942\u0928 \u0905\u0902\u0924\u093f\u092e \u0935\u0947\u0917 v \u0939\u094b\u0924 \u0905\u0938\u0947\u0932 \u0924\u0930,<\/p>\n\n\n\n<ul><li><strong>\u0924\u094d\u0935\u0930\u0923 = <\/strong>a<strong> <\/strong><strong>\u0905\u0902\u0924\u093f\u092e \u0935\u0947\u0917 &#8211; \u0938\u0941\u0930\u0941\u0935\u093e\u0924\u0940\u091a\u093e \u0935\u0947\u0917 &nbsp; <\/strong><strong>\u0915\u093e\u0932&nbsp; <\/strong><strong><\/strong>= <strong>(v -u ) <\/strong><strong>t &nbsp;<\/strong><\/li><\/ul>\n\n\n\n<ul><li><strong>\u0917\u0924\u093f\u0935\u093f\u0937\u092f\u0915 \u092a\u0939\u093f\u0932\u0947 \u0938\u092e\u0940\u0915\u0930\u0923&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p><strong>v = u + at<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0917\u0924\u093f\u0935\u093f\u0937\u092f\u0915 \u0926\u0941\u0938\u0930\u0947 \u0938\u092e\u0940\u0915\u0930\u0923&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p><strong>s = ut + <\/strong><strong>1<\/strong><strong>2<\/strong><strong> a<\/strong><strong>t<\/strong><strong>2<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0917\u0924\u093f\u0935\u093f\u0937\u092f\u0915 \u0924\u093f\u0938\u0930\u0947 \u0938\u092e\u0940\u0915\u0930\u0923&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p><strong>v<\/strong><strong>2<\/strong><strong> = <\/strong><strong>u<\/strong><strong>2<\/strong><strong>+2as<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0935\u0930\u094d\u0924\u0941\u0933\u093e\u0915\u093e\u0930 \u0917\u0924\u0940\u092e\u0927\u094d\u092f\u0947 \u0917\u0924\u093f\u092e\u093e\u0928 \u0905\u0938\u0932\u0947\u0932\u0940 \u0935\u0938\u094d\u0924\u0942 t \u0915\u093e\u0932\u093e\u0935\u0927\u0940\u0924 \u0906\u092a\u0932\u094d\u092f\u093e \u092e\u0942\u0933 \u0938\u094d\u0925\u093e\u0928\u0940 \u092a\u0930\u0924 \u092f\u0947\u0924 \u0905\u0938\u0947\u0932 \u0924\u0930 \u0935\u0938\u094d\u0924\u0942\u091a\u0940 \u091a\u093e\u0932 \u0916\u093e\u0932\u0940\u0932 \u0938\u0942\u0924\u094d\u0930\u093e\u091a\u094d\u092f\u093e \u0938\u093e\u0939\u093e\u092f\u094d\u092f\u093e\u0928\u0947 \u0915\u093e\u0922\u0924\u093e \u092f\u0947\u0908\u0932.<\/strong><\/li><\/ul>\n\n\n\n<p>\u091a\u093e\u0932 =\u092a\u0930\u0940\u0918 \u0915\u093e\u0932<\/p>\n\n\n\n<p>v =2r t &nbsp; &#8230;..&nbsp; r &#8211; \u0935\u0930\u094d\u0924\u0941\u0933\u093e\u091a\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e&nbsp;<\/p>\n\n\n\n<ul><li><strong>\u0938\u0930\u093e\u0938\u0930\u0940 \u091a\u093e\u0932 = <\/strong><strong>\u092a\u093e\u0930 \u0915\u0947\u0932\u0947\u0932\u0947 \u090f\u0915\u0942\u0923 \u0905\u0902\u0924\u0930<\/strong><strong>\u0932\u093e\u0917\u0932\u0947\u0932\u093e \u090f\u0915\u0942\u0923 \u0915\u093e\u0932<\/strong><\/li><\/ul>\n\n\n\n<ul><li><strong>\u0938\u0930\u093e\u0938\u0930\u0940 \u0935\u0947\u0917 <\/strong>= <strong>\u090f\u0915\u0942\u0923 \u0935\u093f\u0938\u094d\u0925\u093e\u092a\u0928<\/strong><strong>\u0932\u093e\u0917\u0932\u0947\u0932\u093e \u090f\u0915\u0942\u0923 \u0915\u093e\u0932<\/strong><\/li><\/ul>\n\n\n\n<ul><li><strong>\u0938\u0902\u0935\u0947\u0917 =&nbsp; <\/strong>P = mv&nbsp;<\/li><\/ul>\n\n\n\n<ul><li><strong>\u0938\u0902\u0935\u0947\u0917 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u093e\u091a\u093e \u0926\u0930<\/strong> = \u0938\u0902\u0935\u0947\u0917\u093e\u0924 \u0939\u094b\u0923\u093e\u0930\u093e \u092c\u0926\u0932\u0935\u0947\u0933<strong>&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<ul><li>\u0928\u094d\u092f\u0942\u091f\u0928\u091a\u093e \u0926\u0941\u0938\u0930\u093e \u0928\u093f\u092f\u092e <strong>F=ma<\/strong><\/li><\/ul>\n\n\n\n<p><strong>2. \u0915\u093e\u0930\u094d\u092f \u0906\u0923\u093f \u090a\u0930\u094d\u091c\u093e&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<ul><li>\u0915\u093e\u0930\u094d\u092f = \u092c\u0932 \u0935\u093f\u0938\u094d\u0925\u093e\u092a\u0928<\/li><\/ul>\n\n\n\n<ul><li>\u0917\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e = \u0915\u093e\u0930\u094d\u092f&nbsp;<\/li><\/ul>\n\n\n\n<p>\u2234 K.E. = F \u00d7 s<\/p>\n\n\n\n<ul><li>\u0917\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e = 12 mv2<\/li><\/ul>\n\n\n\n<ul><li>\u0938\u094d\u0925\u093f\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e = P.E. = mgh<\/li><\/ul>\n\n\n\n<ul><li>T. E (\u090f\u0915\u0942\u0923 \u090a\u0930\u094d\u091c\u093e) = K.E. (\u0917\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e)+ P.E.(\u0938\u094d\u0925\u093f\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e)&nbsp;<\/li><\/ul>\n\n\n\n<ul><li>\u0936\u0915\u094d\u0924\u0940 = \u0915\u093e\u0930\u094d\u092f \u0915\u093e\u0932 &nbsp;&nbsp;<\/li><\/ul>\n\n\n\n<p>P =W t <strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>3. \u0927\u093e\u0930\u093e\u0935\u093f\u0926\u094d\u092f\u0941\u0924<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0926\u094b\u0928 \u092c\u093f\u0902\u0926\u0942\u0902\u092e\u0927\u0940\u0932 \u0935\u093f\u092d\u0935\u093e\u0902\u0924\u0930 = <\/strong><strong>\u0915\u093e\u0930\u094d\u092f <\/strong><strong>\u0938\u094d\u0925\u093e\u0928\u093e\u0902\u0924\u0930\u093f\u0924 \u091d\u093e\u0932\u0947\u0932\u093e \u090f\u0915\u0942\u0923 \u092a\u094d\u0930\u092d\u093e\u0930<\/strong><\/li><\/ul>\n\n\n\n<p><strong>V=<\/strong><strong>W<\/strong><strong>Q<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0935\u093f\u0926\u094d\u092f\u0941\u0924\u0927\u093e\u0930\u093e = <\/strong><strong>I =<\/strong><strong>Q <\/strong><strong>t <\/strong><strong>&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>\u092f\u0947\u0925\u0947,&nbsp;<\/p>\n\n\n\n<p>I = \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u0927\u093e\u0930\u093e&nbsp;<\/p>\n\n\n\n<p>Q =\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092a\u094d\u0930\u092d\u093e\u0930&nbsp;<\/p>\n\n\n\n<p>t = \u0915\u093e\u0932\u093e\u0935\u0927\u0940&nbsp;<\/p>\n\n\n\n<ul><li>\u0913\u0939\u092e\u091a\u093e \u0928\u093f\u092f\u092e = V = IR \u0915\u093f\u0902\u0935\u093e R&nbsp; =V&nbsp; I&nbsp;<\/li><\/ul>\n\n\n\n<ul><li>\u0930\u094b\u0927\u0915\u0924\u093e = R =L A<\/li><\/ul>\n\n\n\n<p>\u092f\u0947\u0925\u0947,&nbsp;<\/p>\n\n\n\n<p>R = \u0935\u093e\u0939\u0915\u093e\u091a\u093e \u0930\u094b\u0927&nbsp;<\/p>\n\n\n\n<p>L = \u0935\u093e\u0939\u0915\u093e\u091a\u0940 \u0932\u093e\u0902\u092c\u0940&nbsp;<\/p>\n\n\n\n<p>A =&nbsp; \u0915\u093e\u091f\u091b\u0947\u0926\u0940 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0933<\/p>\n\n\n\n<p>\u03c1 = \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0924\u093e \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 = \u0930\u094b\u0927\u0915\u0924\u093e<\/p>\n\n\n\n<ul><li>\u092a\u0930\u093f\u092a\u0925\u093e\u0924\u0940\u0932 \u090f\u0915\u0942\u0923 \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u0927\u093e\u0930\u093e &nbsp;<\/li><\/ul>\n\n\n\n<p>I = I 1 + I2 + I3<\/p>\n\n\n\n<ul><li>\u091c\u0930 n \u0930\u094b\u0927 \u090f\u0915\u0938\u0930 \u091c\u094b\u0921\u0923\u0940\u0924 \u091c\u094b\u0921\u0932\u0947\u0932\u0947 \u0905\u0938\u0924\u0940\u0932 \u0924\u0930,<\/li><\/ul>\n\n\n\n<p>Rs= R1 + R2+R3 +&#8230;&#8230;..+Rn<\/p>\n\n\n\n<ul><li>\u091c\u0930 n \u0930\u094b\u0927 \u0938\u092e\u093e\u0902\u0924\u0930 \u091c\u094b\u0921\u0923\u0940\u0924 \u091c\u094b\u0921\u0932\u0947\u0932\u0947 \u0905\u0938\u0924\u0940\u0932 \u0924\u0930,<\/li><\/ul>\n\n\n\n<p>1 Rp=1 R1 + 1 R2+1 R3 +&#8230;&#8230;..+1 Rn<\/p>\n\n\n\n<p><strong>4. \u0926\u094d\u0930\u0935\u094d\u092f\u093e\u091a\u0947 \u092e\u094b\u091c\u092e\u093e\u092a<\/strong><\/p>\n\n\n\n<ul><li>\u0930\u0947\u0923\u0941\u0935\u0938\u094d\u0924\u0941\u092e\u093e\u0928 = \u0918\u091f\u0915 \u0905\u0923\u0941\u0935\u0938\u094d\u0924\u0941\u092e\u093e\u0928\u093e\u0902\u091a\u0940 \u092c\u0947\u0930\u0940\u091c<\/li><\/ul>\n\n\n\n<p>\u0909\u0926\u093e: (H2 O \u091a\u0947 \u0930\u0947\u0923\u0941\u0935\u0938\u094d\u0924\u0941\u092e\u093e\u0928) = (H \u091a\u0947 \u0905\u0923\u0941\u0935\u0938\u094d\u0924\u0941\u092e\u093e\u0928) 2 + (O \u091a\u0947 \u0905\u0923\u0941\u0935\u0938\u094d\u0924\u0941\u092e\u093e\u0928)1&nbsp;<\/p>\n\n\n\n<ul><li><strong>\u092a\u0926\u093e\u0930\u094d\u0925\u093e\u091a\u094d\u092f\u093e \u092e\u094b\u0932\u091a\u0940 \u0938\u0902\u0916\u094d\u092f\u093e (n) = <\/strong><strong>\u092a\u0926\u093e\u0930\u094d\u0925\u093e\u091a\u0947 \u0917\u094d\u0930\u0945\u092e \u092e\u0927\u0940\u0932 \u0935\u0938\u094d\u0924\u0941\u092e\u093e\u0928 <\/strong><strong>\u092a\u0926\u093e\u0930\u094d\u0925\u093e\u091a\u0947 \u0930\u0947\u0923\u0941\u0935\u0938\u094d\u0924\u0941\u092e\u093e\u0928<\/strong><\/li><\/ul>\n\n\n\n<p>\u0909\u0926\u093e:CO2\u092e\u0927\u0940\u0932 \u092e\u094b\u0932\u091a\u0940 \u0938\u0902\u0916\u094d\u092f\u093e (n) =CO2 \u0917\u094d\u0930\u0945\u092e\u092e\u0927\u0940\u0932 \u0935\u0938\u094d\u0924\u0941\u092e\u093e\u0928 CO2 \u091a\u0947 \u0930\u0947\u0923\u0941\u0935\u0938\u094d\u0924\u0941\u092e\u093e\u0928<\/p>\n\n\n\n<p><strong>5. \u092a\u094d\u0930\u0915\u093e\u0936\u093e\u091a\u0947 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u0928<\/strong><\/p>\n\n\n\n<ul><li><strong>\u092a\u094d\u0930\u0924\u093f\u092e\u093e\u0902\u091a\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e\u0922\u0923\u094d\u092f\u093e\u091a\u0947 \u0938\u0942\u0924\u094d\u0930&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p><strong>n=<\/strong><strong>36<\/strong><strong>0<\/strong><strong>0<\/strong><strong>A<\/strong><strong>-1<\/strong><\/p>\n\n\n\n<p>\u092f\u0947\u0925\u0947,<\/p>\n\n\n\n<p>n= \u092a\u094d\u0930\u0924\u093f\u092e\u093e\u0902\u091a\u0940 \u0938\u0902\u0916\u094d\u092f\u093e<\/p>\n\n\n\n<p>A= \u0906\u0930\u0936\u093e\u0902\u092e\u0927\u0940\u0932 \u0915\u094b\u0928<\/p>\n\n\n\n<ul><li><strong>\u0906\u0930\u0936\u093e\u091a\u0947 \u0938\u0942\u0924\u094d\u0930&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>1v+1u=1f<\/p>\n\n\n\n<ul><li><strong>\u0935\u093f\u0936\u093e\u0932\u0928<\/strong><\/li><\/ul>\n\n\n\n<p><strong>M=<\/strong><strong>\u092a\u094d\u0930\u0924\u093f\u092e\u0947\u091a\u0940 \u0909\u0902\u091a\u0940 <\/strong><strong>\u0935\u0938\u094d\u0924\u0942\u091a\u0940 \u0909\u0902\u091a\u0940 <\/strong><strong>=<\/strong><strong>h<\/strong><strong>2<\/strong><strong> <\/strong><strong>h<\/strong><strong>1<\/strong><strong><\/strong><\/p>\n\n\n\n<p><strong>M = <\/strong><strong>&#8211;<\/strong><strong>v <\/strong><strong>u <\/strong><strong>&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>6. \u0927\u094d\u0935\u0928\u0940\u091a\u093e \u0905\u092d\u094d\u092f\u093e\u0938<\/strong><\/p>\n\n\n\n<ul><li><strong>\u0927\u094d\u0935\u0928\u0940\u091a\u093e \u0935\u0947\u0917&nbsp;<\/strong><\/li><\/ul>\n\n\n\n<p>i. \u0927\u094d\u0935\u0928\u0940 \u0924\u0930\u0902\u0917\u093e\u0935\u0930\u091a\u093e \u0915\u0941\u0920\u0932\u093e\u0939\u0940 \u092c\u093f\u0902\u0926\u0942 T (\u0924\u0930\u0902\u0917\u0915\u093e\u0932) \u092f\u093e \u0915\u093e\u0933\u093e\u0924 (\u0924\u0930\u0902\u0917\u0932\u093e\u0902\u092c\u0940) \u090f\u0935\u0922\u0947\u0905\u0902\u0924\u0930 \u092a\u093e\u0930 \u0915\u0930\u0924\u094b, \u092e\u094d\u0939\u0923\u0942\u0928 \u0927\u094d\u0935\u0928\u0940\u091a\u093e \u0935\u0947\u0917 \u092a\u0941\u0922\u0940\u0932\u092a\u094d\u0930\u092e\u093e\u0923\u0947&nbsp;<\/p>\n\n\n\n<p>\u0935\u0947\u0917 =\u0924\u0930\u0902\u0917\u0932\u093e\u0902\u092c\u0940 \u0915\u093e\u0932<\/p>\n\n\n\n<p>v&nbsp; = t&nbsp;<\/p>\n\n\n\n<p>v&nbsp; = ,&nbsp; \u0915\u093e\u0930\u0923 1T =<\/p>\n\n\n\n<p>ii. \u0927\u094d\u0935\u0928\u0940\u091a\u093e \u0935\u0947\u0917 = \u0935\u093e\u0930\u0902\u0935\u093e\u0930\u093f\u0924\u093e x \u0924\u0930\u0902\u0917\u0932\u093e\u0902\u092c\u0940<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092c\u094b\u0930\u094d\u0921 \u0907\u092f\u0924\u094d\u0924\u093e \u0928\u0935\u0935\u0940 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u0940 \u0938\u0942\u0924\u094d\u0930\u0947 2023 &#8211; \u0935\u093e\u0930\u0902\u0935\u093e\u0930 \u0935\u093f\u091a\u093e\u0930\u0932\u0947 \u091c\u093e\u0923\u093e\u0930\u0947 \u092a\u094d\u0930\u0936\u094d\u0928<\/strong><\/h2>\n\n\n\n<p><strong>\u092a\u094d\u0930 1. Embibe \u0935\u0930 \u0926\u093f\u0932\u0947\u0932\u094d\u092f\u093e \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u093e \u092a\u0930\u0940\u0915\u094d\u0937\u0947\u0915\u0930\u093f\u0924\u093e \u0915\u0938\u093e \u0909\u092a\u092f\u094b\u0917 \u0939\u094b\u090a \u0936\u0915\u0924\u094b?<\/strong><\/p>\n\n\n\n<p><strong>\u0909\u0924\u094d\u0924\u0930. <\/strong>Embibe \u0935\u0930 \u0906\u092a\u0932\u094d\u092f\u093e\u0932\u093e \u0917\u0923\u093f\u0924 \u0935 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0926\u094b\u0928\u094d\u0939\u0940 \u0935\u093f\u0937\u092f\u093e\u0924\u0940\u0932 \u0938\u0942\u0924\u094d\u0930\u0947 \u0926\u093f\u0932\u0947\u0932\u0940 \u0906\u0939\u0947\u0924. \u0939\u0940 \u0938\u0930\u094d\u0935 \u0938\u0942\u0924\u094d\u0930\u0947 \u090f\u0915\u093e\u091a \u0920\u093f\u0915\u093e\u0923\u0940 \u0905\u0938\u0932\u094d\u092f\u093e\u0928\u0947 \u0906\u092a\u0923 \u0939\u0940 \u0938\u0930\u094d\u0935 \u0938\u0942\u0924\u094d\u0930\u0947 \u0906\u092e\u091a\u094d\u092f\u093e \u092a\u094d\u0932\u0945\u091f\u092b\u0949\u0930\u094d\u092e \u0935\u093e\u091a\u0942 \u0936\u0915\u0924\u093e \u0924\u0938\u0947\u091a \u0924\u094d\u092f\u093e\u0902\u091a\u093e \u0938\u0930\u093e\u0935 \u0926\u0947\u0916\u0940\u0932 \u0915\u0930\u0942 \u0936\u0915\u0924\u093e \u091c\u0947\u0923\u0947\u0915\u0930\u0942\u0928 \u092a\u0930\u0940\u0915\u094d\u0937\u0947\u0924 \u0906\u092a\u0932\u094d\u092f\u093e\u0932\u093e \u0939\u0940 \u0938\u0930\u094d\u0935 \u0938\u0942\u0924\u094d\u0930\u0947 \u0906\u0920\u0935\u0923\u094d\u092f\u093e\u0938 \u092e\u0926\u0924 \u0939\u094b\u0908\u0932.&nbsp;&nbsp;<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930 2. \u0928\u0935\u0935\u0940\u091a\u094d\u092f\u093e <\/strong><strong>\u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u092f\u093e<\/strong><strong> \u0935\u093f\u0937\u092f\u093e\u0924 \u0915\u094b\u0923\u0924\u094d\u092f\u093e \u0927\u0921\u094d\u092f\u093e\u0902\u092e\u0927\u094d\u092f\u0947 \u0938\u0942\u0924\u094d\u0930\u0947 \u0906\u0939\u0947\u0924?<\/strong><\/p>\n\n\n\n<p><strong>\u0909\u0924\u094d\u0924\u0930.&nbsp;<\/strong>\u0928\u0935\u0935\u0940\u091a\u094d\u092f\u093e \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0935\u093f\u0937\u092f\u093e\u0924\u0940\u0932<strong> <\/strong>\u0917\u0924\u0940\u091a\u0947 \u0928\u093f\u092f\u092e, \u0915\u093e\u0930\u094d\u092f \u0906\u0923\u093f \u090a\u0930\u094d\u091c\u093e, \u0927\u093e\u0930\u093e\u0935\u093f\u0926\u094d\u092f\u0941\u0924, \u0926\u094d\u0930\u0935\u094d\u092f\u093e\u091a\u0947 \u092e\u094b\u091c\u092e\u093e\u092a, \u092a\u094d\u0930\u0915\u093e\u0936\u093e\u091a\u0947 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u0928, \u0927\u094d\u0935\u0928\u0940\u091a\u093e \u0905\u092d\u094d\u092f\u093e\u0938 \u092f\u093e \u0927\u0921\u094d\u092f\u093e\u0902\u092e\u0927\u094d\u092f\u0947 \u0938\u0942\u0924\u094d\u0930\u0947 \u0938\u092e\u093e\u0935\u093f\u0937\u094d\u091f \u0906\u0939\u0947\u0924.<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930 3. \u0917\u0923\u093f\u0924 \u0935 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0935\u093f\u0937\u092f\u093e\u0902\u092e\u0927\u0940\u0932 \u0938\u0942\u0924\u094d\u0930\u0947 \u0915\u0936\u0940 \u0932\u0915\u094d\u0937\u093e\u0924 \u0920\u0947\u0935\u093e\u0935\u0940?<\/strong><\/p>\n\n\n\n<p><strong>\u0909\u0924\u094d\u0924\u0930.<\/strong> \u0917\u0923\u093f\u0924 \u0935 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0935\u093f\u0937\u092f\u093e\u0902\u092e\u0927\u0940\u0932 \u0938\u0942\u0924\u094d\u0930\u0947 \u0932\u0915\u094d\u0937\u093e\u0924 \u0920\u0947\u0935\u0923\u094d\u092f\u093e\u0938\u093e\u0920\u0940 \u0906\u092a\u0932\u094d\u092f\u093e\u0932\u093e \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u093e \u0935\u093e\u0930\u0902\u0935\u093e\u0930 \u0938\u0930\u093e\u0935 \u0915\u0930\u0923\u0947 \u0924\u0938\u0947\u091a \u0938\u0942\u0924\u094d\u0930\u0947 \u0932\u093f\u0939\u0942\u0928 \u092a\u093e\u0939\u0923\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0905\u0938\u0924\u0947. \u0938\u0924\u0924 \u092f\u093e \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u0947 \u091c\u093e\u0938\u094d\u0924\u0940\u0924 \u091c\u093e\u0938\u094d\u0924 \u0935\u093e\u091a\u0928 \u0915\u0930\u0942\u0928 \u0906\u092a\u0923 \u0939\u0947 \u0938\u0930\u094d\u0935 \u0932\u0915\u094d\u0937\u093e\u0924 \u0920\u0947\u0935\u0942 \u0936\u0915\u0924\u093e.&nbsp;<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930 4. \u090f\u0916\u093e\u0926\u094d\u092f\u093e \u0927\u0921\u094d\u092f\u093e\u0924\u0940\u0932 \u0938\u0942\u0924\u094d\u0930 \u0906\u0920\u0935\u0924 \u0928\u0938\u0932\u094d\u092f\u093e\u0938 \u0915\u093e\u092f \u0915\u0930\u093e\u0935\u0947?<\/strong><\/p>\n\n\n\n<p><strong>\u0909\u0924\u094d\u0924\u0930.<\/strong> \u090f\u0916\u093e\u0926\u094d\u092f\u093e \u0927\u0921\u094d\u092f\u093e\u0924\u0940\u0932 \u0938\u0942\u0924\u094d\u0930 \u0906\u0920\u0935\u0924 \u0928\u0938\u0932\u094d\u092f\u093e\u0938 \u0906\u092a\u0923 \u0924\u094d\u092f\u093e \u0927\u0921\u094d\u092f\u093e\u0924\u0940\u0932 \u092e\u093e\u0939\u0940\u0924 \u0905\u0938\u0932\u0947\u0932\u094d\u092f\u093e \u092e\u0942\u0932\u092d\u0942\u0924 \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u094d\u092f\u093e \u0938\u0939\u093e\u092f\u094d\u092f\u093e\u0928\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0938\u0942\u0924\u094d\u0930 \u0924\u092f\u093e\u0930 \u0915\u0930\u0923\u094d\u092f\u093e\u091a\u093e \u092a\u094d\u0930\u092f\u0924\u094d\u0928 \u0915\u0930\u093e\u092f\u0932\u093e \u092a\u093e\u0939\u093f\u091c\u0947.&nbsp;<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930 5. \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0924 \u0938\u0942\u0924\u094d\u0930 \u0932\u093f\u0939\u093f\u0923\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0905\u0938\u0924\u0947 \u0915\u093e?<\/strong><\/p>\n\n\n\n<p><strong>\u0909\u0924\u094d\u0924\u0930.<\/strong> \u0928\u093e\u0939\u0940, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0924 \u0938\u0942\u0924\u094d\u0930 \u0932\u093f\u0939\u093f\u0923\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0928\u0938\u0924\u0947. \u091c\u0930 \u092a\u094d\u0930\u0936\u094d\u0928 \u091c\u093e\u0938\u094d\u0924 \u0917\u0941\u0923\u093e\u0902\u0938\u093e\u0920\u0940 \u0935\u093f\u091a\u093e\u0930\u0932\u093e \u0905\u0938\u0947\u0932 \u0906\u0923\u093f \u0924\u094d\u092f\u093e \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0936\u0940 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u090f\u0916\u093e\u0926\u0947 \u0938\u0942\u0924\u094d\u0930 \u0906\u092a\u0932\u094d\u092f\u093e \u092a\u0941\u0938\u094d\u0924\u0915\u093e\u0924\u0940\u0932 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u091f\u0949\u092a\u093f\u0915\u092e\u0927\u094d\u092f\u0947 \u0926\u093f\u0932\u0947 \u0905\u0938\u0947\u0932 \u0924\u0930\u091a \u0924\u0947 \u0938\u0942\u0924\u094d\u0930 \u0932\u093f\u0939\u093f\u0923\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0905\u0938\u0924\u0947.&nbsp;<\/p>\n\n\n\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [{\n    \"@type\": \"Question\",\n    \"name\": \"\u092a\u094d\u0930 1. Embibe \u0935\u0930 \u0926\u093f\u0932\u0947\u0932\u094d\u092f\u093e \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u093e \u092a\u0930\u0940\u0915\u094d\u0937\u0947\u0915\u0930\u093f\u0924\u093e \u0915\u0938\u093e \u0909\u092a\u092f\u094b\u0917 \u0939\u094b\u090a \u0936\u0915\u0924\u094b?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"\u0909\u0924\u094d\u0924\u0930. Embibe \u0935\u0930 \u0906\u092a\u0932\u094d\u092f\u093e\u0932\u093e \u0917\u0923\u093f\u0924 \u0935 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0926\u094b\u0928\u094d\u0939\u0940 \u0935\u093f\u0937\u092f\u093e\u0924\u0940\u0932 \u0938\u0942\u0924\u094d\u0930\u0947 \u0926\u093f\u0932\u0947\u0932\u0940 \u0906\u0939\u0947\u0924. \u0939\u0940 \u0938\u0930\u094d\u0935 \u0938\u0942\u0924\u094d\u0930\u0947 \u090f\u0915\u093e\u091a \u0920\u093f\u0915\u093e\u0923\u0940 \u0905\u0938\u0932\u094d\u092f\u093e\u0928\u0947 \u0906\u092a\u0923 \u0939\u0940 \u0938\u0930\u094d\u0935 \u0938\u0942\u0924\u094d\u0930\u0947 \u0906\u092e\u091a\u094d\u092f\u093e \u092a\u094d\u0932\u0945\u091f\u092b\u0949\u0930\u094d\u092e \u0935\u093e\u091a\u0942 \u0936\u0915\u0924\u093e \u0924\u0938\u0947\u091a \u0924\u094d\u092f\u093e\u0902\u091a\u093e \u0938\u0930\u093e\u0935 \u0926\u0947\u0916\u0940\u0932 \u0915\u0930\u0942 \u0936\u0915\u0924\u093e \u091c\u0947\u0923\u0947\u0915\u0930\u0942\u0928 \u092a\u0930\u0940\u0915\u094d\u0937\u0947\u0924 \u0906\u092a\u0932\u094d\u092f\u093e\u0932\u093e \u0939\u0940 \u0938\u0930\u094d\u0935 \u0938\u0942\u0924\u094d\u0930\u0947 \u0906\u0920\u0935\u0923\u094d\u092f\u093e\u0938 \u092e\u0926\u0924 \u0939\u094b\u0908\u0932.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"\u092a\u094d\u0930 2. \u0928\u0935\u0935\u0940\u091a\u094d\u092f\u093e \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0935\u093f\u0937\u092f\u093e\u0924 \u0915\u094b\u0923\u0924\u094d\u092f\u093e \u0927\u0921\u094d\u092f\u093e\u0902\u092e\u0927\u094d\u092f\u0947 \u0938\u0942\u0924\u094d\u0930\u0947 \u0906\u0939\u0947\u0924?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"\u0909\u0924\u094d\u0924\u0930. \u0928\u0935\u0935\u0940\u091a\u094d\u092f\u093e \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0935\u093f\u0937\u092f\u093e\u0924\u0940\u0932 \u0917\u0924\u0940\u091a\u0947 \u0928\u093f\u092f\u092e, \u0915\u093e\u0930\u094d\u092f \u0906\u0923\u093f \u090a\u0930\u094d\u091c\u093e, \u0927\u093e\u0930\u093e\u0935\u093f\u0926\u094d\u092f\u0941\u0924, \u0926\u094d\u0930\u0935\u094d\u092f\u093e\u091a\u0947 \u092e\u094b\u091c\u092e\u093e\u092a, \u092a\u094d\u0930\u0915\u093e\u0936\u093e\u091a\u0947 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u0928, \u0927\u094d\u0935\u0928\u0940\u091a\u093e \u0905\u092d\u094d\u092f\u093e\u0938 \u092f\u093e \u0927\u0921\u094d\u092f\u093e\u0902\u092e\u0927\u094d\u092f\u0947 \u0938\u0942\u0924\u094d\u0930\u0947 \u0938\u092e\u093e\u0935\u093f\u0937\u094d\u091f \u0906\u0939\u0947\u0924.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"\u092a\u094d\u0930 3. \u0917\u0923\u093f\u0924 \u0935 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0935\u093f\u0937\u092f\u093e\u0902\u092e\u0927\u0940\u0932 \u0938\u0942\u0924\u094d\u0930\u0947 \u0915\u0936\u0940 \u0932\u0915\u094d\u0937\u093e\u0924 \u0920\u0947\u0935\u093e\u0935\u0940?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"\u0909\u0924\u094d\u0924\u0930. \u0917\u0923\u093f\u0924 \u0935 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0906\u0923\u093f \u0924\u0902\u0924\u094d\u0930\u091c\u094d\u091e\u093e\u0928 \u092f\u093e \u0935\u093f\u0937\u092f\u093e\u0902\u092e\u0927\u0940\u0932 \u0938\u0942\u0924\u094d\u0930\u0947 \u0932\u0915\u094d\u0937\u093e\u0924 \u0920\u0947\u0935\u0923\u094d\u092f\u093e\u0938\u093e\u0920\u0940 \u0906\u092a\u0932\u094d\u092f\u093e\u0932\u093e \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u093e \u0935\u093e\u0930\u0902\u0935\u093e\u0930 \u0938\u0930\u093e\u0935 \u0915\u0930\u0923\u0947 \u0924\u0938\u0947\u091a \u0938\u0942\u0924\u094d\u0930\u0947 \u0932\u093f\u0939\u0942\u0928 \u092a\u093e\u0939\u0923\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0905\u0938\u0924\u0947. \u0938\u0924\u0924 \u092f\u093e \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u0947 \u091c\u093e\u0938\u094d\u0924\u0940\u0924 \u091c\u093e\u0938\u094d\u0924 \u0935\u093e\u091a\u0928 \u0915\u0930\u0942\u0928 \u0906\u092a\u0923 \u0939\u0947 \u0938\u0930\u094d\u0935 \u0932\u0915\u094d\u0937\u093e\u0924 \u0920\u0947\u0935\u0942 \u0936\u0915\u0924\u093e.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"\u092a\u094d\u0930 4. \u090f\u0916\u093e\u0926\u094d\u092f\u093e \u0927\u0921\u094d\u092f\u093e\u0924\u0940\u0932 \u0938\u0942\u0924\u094d\u0930 \u0906\u0920\u0935\u0924 \u0928\u0938\u0932\u094d\u092f\u093e\u0938 \u0915\u093e\u092f \u0915\u0930\u093e\u0935\u0947?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"\u0909\u0924\u094d\u0924\u0930. \u090f\u0916\u093e\u0926\u094d\u092f\u093e \u0927\u0921\u094d\u092f\u093e\u0924\u0940\u0932 \u0938\u0942\u0924\u094d\u0930 \u0906\u0920\u0935\u0924 \u0928\u0938\u0932\u094d\u092f\u093e\u0938 \u0906\u092a\u0923 \u0924\u094d\u092f\u093e \u0927\u0921\u094d\u092f\u093e\u0924\u0940\u0932 \u092e\u093e\u0939\u0940\u0924 \u0905\u0938\u0932\u0947\u0932\u094d\u092f\u093e \u092e\u0942\u0932\u092d\u0942\u0924 \u0938\u0942\u0924\u094d\u0930\u093e\u0902\u091a\u094d\u092f\u093e \u0938\u0939\u093e\u092f\u094d\u092f\u093e\u0928\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0938\u0942\u0924\u094d\u0930 \u0924\u092f\u093e\u0930 \u0915\u0930\u0923\u094d\u092f\u093e\u091a\u093e \u092a\u094d\u0930\u092f\u0924\u094d\u0928 \u0915\u0930\u093e\u092f\u0932\u093e \u092a\u093e\u0939\u093f\u091c\u0947.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"\u092a\u094d\u0930 5. \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0924 \u0938\u0942\u0924\u094d\u0930 \u0932\u093f\u0939\u093f\u0923\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0905\u0938\u0924\u0947 \u0915\u093e?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"\u0909\u0924\u094d\u0924\u0930. \u0928\u093e\u0939\u0940, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0924 \u0938\u0942\u0924\u094d\u0930 \u0932\u093f\u0939\u093f\u0923\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0928\u0938\u0924\u0947. \u091c\u0930 \u092a\u094d\u0930\u0936\u094d\u0928 \u091c\u093e\u0938\u094d\u0924 \u0917\u0941\u0923\u093e\u0902\u0938\u093e\u0920\u0940 \u0935\u093f\u091a\u093e\u0930\u0932\u093e \u0905\u0938\u0947\u0932 \u0906\u0923\u093f \u0924\u094d\u092f\u093e \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0936\u0940 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u090f\u0916\u093e\u0926\u0947 \u0938\u0942\u0924\u094d\u0930 \u0906\u092a\u0932\u094d\u092f\u093e \u092a\u0941\u0938\u094d\u0924\u0915\u093e\u0924\u0940\u0932 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u091f\u0949\u092a\u093f\u0915\u092e\u0927\u094d\u092f\u0947 \u0926\u093f\u0932\u0947 \u0905\u0938\u0947\u0932 \u0924\u0930\u091a \u0924\u0947 \u0938\u0942\u0924\u094d\u0930 \u0932\u093f\u0939\u093f\u0923\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0905\u0938\u0924\u0947.\"\n    }\n  }]\n}\n<\/script>\n\n\n\n<p><br>\u0906\u092e\u094d\u0939\u093e\u0932\u093e \u0906\u0936\u093e \u0906\u0939\u0947 \u0915\u0940, <strong>\u201c\u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092c\u094b\u0930\u094d\u0921 \u0907\u092f\u0924\u094d\u0924\u093e \u0928\u0935\u0935\u0940 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u0940 \u0938\u0942\u0924\u094d\u0930\u0947 2023\u201d<\/strong> \u092f\u093e \u091f\u0949\u092a\u093f\u0915\u0935\u0930\u0940\u0932 \u092c\u094d\u0932\u0949\u0917 \u0939\u093e \u0906\u092a\u0932\u094d\u092f\u093e\u0938\u093e\u0920\u0940 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0920\u0930\u0932\u093e \u0905\u0938\u0947\u0932. \u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092c\u094b\u0930\u094d\u0921 \u0907\u092f\u0924\u094d\u0924\u093e 9 \u0935\u0940 \u092c\u0926\u094d\u0926\u0932\u091a\u0940 \u0928\u0935\u0940\u0928 \u092e\u093e\u0939\u093f\u0924\u0940 \u0906\u0923\u093f \u0905\u092a\u0921\u0947\u091f \u091c\u093e\u0923\u0942\u0928 \u0918\u0947\u0923\u094d\u092f\u093e\u0938\u093e\u0920\u0940 <a href=\"https:\/\/www.embibe.com\/learn\/home\" target=\"_blank\" rel=\"noreferrer noopener\">Embibe<\/a> \u091a\u094d\u092f\u093e \u0938\u0902\u092a\u0930\u094d\u0915\u093e\u0924 \u0930\u0939\u093e.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u092e\u0939\u0924\u094d\u0924\u094d\u0935\u093e\u091a\u0940 \u0938\u0942\u0924\u094d\u0930\u0947: \u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092c\u094b\u0930\u094d\u0921 \u0907\u092f\u0924\u094d\u0924\u093e 9 \u0935\u0940 \u0915\u0930\u0940\u0924\u093e Embibe \u091a\u094d\u092f\u093e \u0924\u091c\u094d\u091e\u093e\u0902\u0928\u0940 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\u0915\u0947\u0902\u0926\u094d\u0930\u093f\u0924 \u0915\u0930\u0923\u094d\u092f\u093e\u091a\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0906\u0939\u0947 \u0939\u0947 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0923\u094d\u092f\u093e\u0924 \u092e\u0926\u0924 \u0915\u0930\u0924\u093e\u0924. \u091c\u094d\u092f\u093e \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u094d\u092f\u093e\u0902\u0928\u093e \u0917\u0923\u093f\u0924&#8230;.<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u092c\u094b\u0930\u094d\u0921 \u0907\u092f\u0924\u094d\u0924\u093e \u0928\u0935\u0935\u0940 2023- 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