NCERT Solutions for Class 11 Maths Chapter 11: Chapter 11 of Maths, class 11 is about Conic Sections. It is a valuable resource of help for students to score better in both board exams and different entrance examinations. This article includes the link to the detailed solution set to the exercise from the NCERT books for Class 11 Maths Chapter 11. This chapter demands adequate knowledge of logical reasoning and analytical skills to understand the basic concepts related to conic sections.
The solutions prepared by Embibe are precise and are explained in a step-by-step manner to assist students in understanding the right approach to solve different problems. Embibe offers a range of study materials that will contribute towards assisting students in enhancing their preparations and improving their performance in the long run. Students can download the solutions for class 11 maths chapter 11 Conic Sections from this article.
Class 11 Maths Chapter 11: Overview
Students can check the complete list of topics of class 11 maths chapter 11 on Conic Sections. Before getting into the detailed solutions of Conic Sections, here is a list of topics and subtopics included in this chapter:
Sections of a Cone
Circle, ellipse, parabola and hyperbola
Degenerated conic sections
Standard equations of parabola
Relationship between semi-major axis, semi-minor axis and the distance the focus from the centre of the ellipse
Special cases of an ellipse
Standard equations of an ellipse
Standard equation of Hyperbola
Class 11 Maths Chapter 11 NCERT Solutions: Download PDF
Students can check the CBSE Solutions for Class 11 Maths Chapter 11 here. They can also download the CBSE Solutions as PDF to study in the offline mode.
Here are a few questions and answers which the students can use in order to prepare for their exams:
Question: Find the equation of the circle with centre 0,2 and radius 2. Answer: We know that, the equation of a circle is given as x-h2+y-k2=r2 where h,k is the centre of the circle and r is the radius of the circle. Given: centre h,k=0,2 and radius r=2 Therefore, the equation of the given circle can be written as x-02+y-22=22 ⇒x2+y2+4-4y=4 ∴ x2+y2-4y=0
Question: Find the equation of a circle with centre 2,2 and passes through the point 4,5. Answer:
The centre of the circle is given as h,k=2,2. Since the circle passes through point 4,5, the radius r of the circle is the distance between the points 2,2 and 4,5. ∴r=2-42+2-52=-22+-32=4+9=13 ∵Distance between (a, b) and (x, y) is (x-a)2+(y-b)2 Thus, the equation of the circle is x-h2+y-k2=r2 ⇒x-22+y-22=132 ⇒x2-4x+4+y2-4y+4=13 ∴x2+y2-4x-4y-5=0
Students would have studied straight lines in the previous chapters, and here in this chapter, circles, ellipses, parabolas and hyperbolas are discussed. Students will study each of the concepts starting from the basic concepts. The mathematical representations of these figures are also to be studied.
These curves have a very wide range of applications in fields such as planetary motion, design of telescopes and antennas, reflectors in flashlights and automobile headlights, etc. Now, in the subsequent sections, Students can see how the intersection of a plane with a double-napped right circular cone results in different types of curves.
FAQs On NCERT Solutions for Class 11 Maths Chapter 11
Q.1: What is chapter 11 class 11 NCERT Maths about? Ans: In the NCERT Class 11 Chapter 11, Conic Sections, students are introduced to the new section of Geometry. Through this chapter, students get to learn about parts and the segmentation of a cone, explaining parabola, circle, ellipse, hyperbola, and degenerate conic sections.
Q.2: Where can I read the complete Chapter 11 Class 11 Mathematics of the NCERT book? Ans: Students can read the complete Chapter 11 of the Class 11 Mathematics NCERT Book on the Embibe platform for free. Students can also find direct links to Class 11 Mathematics Chapter 11 Notes, Solutions, practice papers, mock tests, important questions, and much more.
Q.3: Which is the best solution for NCERT Class 11 Chapter 11 Mathematics? Ans: Students can find 100 per cent accurate Solutions for the NCERT Class 11 Mathematics Chapter 11, Conic Sections on the Embibe platform. This article contains the complete solution which has been solved by expert mathematics teachers associated with Embibe.
Q.4: Where and how can I download the NCERT solutions of CBSE Mathematics Class 11 Chapter 11 Conic Sections? Ans: The NCERT Solutions of CBSE Mathematics Class 11 Chapter 11 Conic Sections can be found in this article. They are designed by the subject experts and professionals who are associated with Embibe and have significant experience in the field of teaching and know the entire course thoroughly.
Q.5: Where can I read the complete Chapter 11 Class 11 Mathematics of the NCERT book? Ans: Students can read the complete Chapter 11 of the Class 11 Mathematics NCERT Book on the Embibe platform for free. Students can also find direct links to Class 11 Mathematics Chapter 11 solving tips, Solutions, practice papers, mock tests, important questions, and much more.