NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry
NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry: NCERT Solutions are important for students. With the help of these solutions, they will learn about the representation of points and different three-dimensional figures. They will also learn about the salient features of three-dimensional shapes and their characteristics in detail. These NCERT Class 11 Maths Solutions by Embibe are based on the latest syllabus by CBSE.
Embibe provides NCERT Solutions for this chapter for free to students. These NCERT Solutions help students learn the correct method to solve exam questions. Apart from these solutions, Embibe also offers 200+ practice questions from this chapter covering 16 concepts. These practice questions are helpful as they increase students’ knowledge. Therefore, students must go through them to ace exams.
NCERT Solutions for Class 11 Maths Chapter 12: Important Topics
Students can clear their doubts by referring to NCERT Solutions for Class 11 Maths. Also, these Class 11 Maths Chapter 12 Solutions cover all the important topics from Three Dimensional Geometry. The important topics from Chapter 12 will teach students the fundamentals of geometry in three dimensions. Students must be familiar with coordinate geometry to understand the concepts of these topics.
The important topics include calculating the distance between two points, section formula, and many more. NCERT 11th Maths Chapter 12 Solutions comprise 14 questions. Talented subject matter experts at Embibe design these solutions to help students score better marks. Further, Embibe offers NCERT Exemplars and books for free. Students can also access free 3D videos at Embibe’s Learning Platform to understand concepts in-depth. These study materials are very helpful during exam preparation.
Now, let us look at the important topics from this chapter:
Co-Ordinate Axes and Co-ordinate Planes in Three Dimensional Space
Coordinate of a Point in Space
Distance Between Two Points
NCERT Solutions for Class 11 Maths Chapter 12: Points to Remember
Some of the important points to remember from this chapter are as follows:
Distance between two points A( x1 , y 1 , z1 ) and B( x2 , y2 , z2 ): √[(x2– x1 )2 + (y2 – y1)2 + (z2 – z1)2 ]
Coordinates of mid-point of given line segment that joins the two points A( x1 , y 1 , z1 ) and B( x2 , y2 , z2 ) are [ (x1 + x2 )/2, (y1 + y2 /2) , (z1 + z2 /2) ]
The coordinates of centroid of triangle and their vertices are (x1 , y 1 , z1 ) , (x2 , y2 , z2 ) and (x3 , y3 , z 3 ) are [ (x1 + x2 + x3 )/3, (y1 + y2+ y3 /3) , (z1 + z2 + z3 /3) ]
Midpoint of a Line Segment: [½ (x1 + x2), ½(y1 + y2), ½(z1 + z2)]
Coordinates of Centroid of a Triangle: [⅓ (x1 + x2 + x3), ⅓ (y1 + y2 + y3), ⅓ (z1 + z2 + z3)]
NCERT Solutions for Class 11 Maths: All Chapters
NCERT Solutions for Class 11 Maths are listed below to help students with their exam preparations: