NCERT Solutions for Class 11 Maths Chapter 10 Conic Sections - PDF Download
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NCERT solutions for class 11 maths chapter 10 Conic Sections explains the different types of curves like Ellipses, Parabolas, Circles, and Hyperbolas. These curves are referred to as conic sections, or conics, and are formed when a plane is intersecting with a right-sided double-napped cone.The purpose of this chapter is to look at the different conic sections and explain them using well illustrated diagrams. This chapter contains a set of formulas that are applied to various types of questions. Some of these concepts may seem hard to understand at first as there are a lot of equations and complicated techniques involved. However, the NCERT solutions provided by our mathematics expert team for class 11 maths chapter 10 will help you solve these problems.
The purpose of these NCERT solutions for class 11 math chapter 10 is to provide information about the various types of curves mentioned above along with practical exercises. To gain an in-depth understanding of all these concepts, students can use these NCERT solutions available on eSaral website for class 11 maths chapter 10. You can also download a free pdf of chapter 10 provided by our experienced teachers and use them for practice questions.
Important Topics covered in Chapter 10 - Conic Sections
NCERT solutions for class 11 math chapter 10 covers some of the most important topics like Introduction to Conic sections, sections of a circle, circle, parabola, hyperbola and ellipse etc. To get all the info you need, you can use NCERT Solutions given on eSaral website.
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10.1 Introduction |
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10.2 Sections of a Cone |
10.2.1 Circle , Ellipse, Parabola and Hyperbola 10.2.2 Degenerated conic sections |
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10.3 Circle |
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10.4 Parabola |
10.4.1 Standard equations of parabola 10.4.2 Latus rectum |
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10.5 Ellipse |
10.5.1 Relationship between semi-major axis, semi-minor axis and the distance of the focus from the center of the ellipse 10.5.2 Eccentricity 10.5.3 Standard equations of an ellipse 10.5.4 Latus rectum |
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10.6 Hyperbola |
10.6.1 Eccentricity 10.6.2 Standard equation of hyperbola 10.6.3 Latus rectum |
10.1 Introduction - In this chapter you will study circle, parabola, ellipse, and hyperbola.
10.2 Sections of a cone
10.2.1 Circle, Ellipse, Parabola, and Hyperbola
10.2.2 Degenerated conic sections
Here, you will study sections of cone, circle, ellipse, parabola, hyperbola and degenerated conic sections.
10.3 Circle - you will learn about circles. It's the sum of all the points on a plane that are equal to or less than a fixed point on the plane. That fixed point is called the center of the circle. The distance from the center to a point in the circle is called the circle's radius.
10.4 Parabola
10.4.1 Standard equations of parabola
10.4.2 Latus rectum
This section will teach you about parabola and its applications.
10.5 Ellipse
10.5.1 Relationship between semi-major axis, semi-minor axis and the distance of the focus from the center of the ellipse
10.5.2 Eccentricity
10.5.3 Standard equations of an ellipse
10.5.4 Latus rectum
10.6 Hyperbola
10.6.1 Eccentricity
10.6.2 Standard equation of hyperbola
10.6.3 Latus rectum
NCERT Solutions for Class 11 Maths Chapter 10 Exercises
NCERT solutions for class 11 maths chapter 10 Conic sections are part of the unit Coordinate geometry. The total number of exercises consists of 4 and a Miscellaneous exercise, which adds up to a total of five exercises in this chapter.
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Exercise 10.1 |
15 Questions & Solutions |
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Exercise 10.2 |
12 Questions & Solutions |
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Exercise 10.3 |
20 Questions & Solutions |
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Exercise 10.4 |
15 Questions & Solutions |
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Miscellaneous Exercise |
8 Questions & Solutions |
Benefits of Downloading The NCERT Solutions for Class 11 Maths Chapter 10 - Conic Sections
In order to gain an understanding of mathematical concepts, there are a number of benefits that can significantly improve a student's comprehension and performance. These benefits are provided by the NCERT solutions for class 11 maths Chapter 10 Conic Section.
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NCERT solutions available on eSaral, Accelerated problem-solving strategies to assist students in completing the paper in a timely manner.
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NCERT solutions for class 11 maths chapter 10 Conic Section Class 11 also assist you in understanding the fundamental concepts as you progress through the process.
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The language of the NCERT solutions for class 11 maths chapter 10 are straightforward and easy to understand. This makes it easier for students to understand the concepts and avoid misunderstandings.
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NCERT solutions for maths class 11 chapter 10 is a great way to learn maths. It's got all the questions you need in one easy-to-understand step, so you don't have to struggle.
Frequently Asked Questions
Find answers to common questions.
What are the four conic sections covered in Class 11 Maths Chapter 10?
The four conic sections are circle, parabola, ellipse, and hyperbola. Each is formed by the intersection of a plane with a double-napped cone at a different angle. The chapter covers standard equations, key properties (focus, directrix, eccentricity, latus rectum), and solved examples for all four curves. Together they form the basis of coordinate geometry at the Class 11 level.
What is the difference between an ellipse and a hyperbola in Class 11 Maths?
For an ellipse, the sum of distances from two foci to any point on the curve is constant, and eccentricity e is between 0 and 1. For a hyperbola, the difference of those distances is constant, and eccentricity e is always greater than 1. The relationship between axes also differs: ellipse uses c² = a² − b², while hyperbola uses c² = a² + b².
Is Chapter 10 Conic Sections important for JEE Main?
Yes, Conic Sections is one of the most important chapters for JEE Main. Coordinate Geometry as a whole accounts for 3–4 questions per paper according to the NTA's official syllabus and recent exam patterns. Parabola, ellipse, and hyperbola problems appear regularly. Mastering the standard equations and properties from NCERT is the foundation before attempting JEE-level problems.
What is the latus rectum in conic sections?
The latus rectum is the chord drawn through the focus of a conic section, perpendicular to the principal axis. Its length for each conic is: Parabola y² = 4ax → 4a; Ellipse x²/a² + y²/b² = 1 → 2b²/a; Hyperbola x²/a² − y²/b² = 1 → 2b²/a. This value appears in many board and JEE questions and should be memorised.
Where can I download the NCERT Solutions for Class 11 Maths Chapter 10 PDF for free?
You can download the free PDF of NCERT Solutions for Class 11 Maths Chapter 10 directly from the eSaral website. The solutions are prepared by IIT Bombay faculty (AIR-2, AIR-41) and cover all 70 questions across the 5 exercises with full step-by-step working. Visit the NCERT Solutions for Class 11 Maths page and download the PDF for offline use.