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NCERT Solutions for Class 11 Mathematics Conic Section Chapter 10

NCERT SolutionsClass 11
NCERT Solutions for Class 11 Mathematics Conic Section Chapter 10
Shafaque Omar Shamim
Shafaque Omar ShamimAn educator with over 4 years of experience in teaching, teacher training, and curriculum design. As a Teach for India alum, my core values are rooted in empathy, embracing diversity, and a passion for curriculum innovation.
Last Updated At: 8 Apr 2026
4 min read

NCERT solutions for Class 11 Mathematics Chapter 10 Conic Sections – complete answers & explanations

This worksheet helps students of Class 11 Mathematics understand Chapter 10 Conic Sections in a clear and structured way. The chapter introduces important curves like circle, parabola, ellipse, and hyperbola, explaining how they are formed and represented using equations. These concepts are essential in coordinate geometry and play a key role in higher-level mathematics and real-world applications such as engineering and physics. This blog provides clear and reliable NCERT solutions that help students learn the correct approach to solving problems step by step. Download the worksheet and practice alongside solutions for better clarity. Book a free trial now to get expert guidance.

NCERT Solutions for Class 11 Mathematics Conic Section Chapter 10.png

What this NCERT chapter covers?

1. Understanding how conic sections are formed by intersecting a plane with a cone 
2. Learning different types of curves such as circle, parabola, ellipse, and hyperbola 
3. Identifying standard equations of each conic section 
4. Understanding geometric definitions like focus, directrix, and axis 
5. Learning how equations relate to graphical representation of curves 
6. Studying properties like symmetry and orientation of conics 
7. Understanding the concept of latus rectum and its length 
8. Learning relationships between different parameters in ellipse 
9. Practising problem-solving using coordinate geometry concepts 
10. Building a strong foundation for advanced mathematics topics 

How to use these NCERT solutions?

1. Start by attempting all questions from the worksheet on your own 
2. Carefully compare your answers with the given NCERT solutions 
3. Understand each step instead of only checking the final answer 
4. Use the solutions to correct mistakes and improve accuracy 
5. Follow the exact order of questions to stay aligned with the worksheet 
6. Parents can guide students by discussing difficult questions 
7. Teachers can use these solutions for classroom explanation and revision 
8. Revise regularly to strengthen concepts and improve confidence 

Important tips & tricks for students

1. Focus on understanding standard equations rather than memorizing blindly 
2. Always identify the type of conic before solving the problem 
3. Avoid confusion between ellipse and hyperbola equations 
4. Practice drawing rough graphs to understand shapes better 
5. Pay attention to signs and coefficients in equations 
6. Follow step-by-step solving methods as expected in NCERT 
7. Do not skip steps in calculations to avoid errors 
8. Revise important formulas regularly 
9. Practice similar problems to build confidence 
NCERT solutions – complete answer key

Exercise 10.1

1. (x – 0)² + (y – 2)² = 4 
2. (x + 2)² + (y – 3)² = 16 
3. (x – 1/4)² + (y – 1/2)² = 1/4 
4. (x – 1)² + (y – 1)² = 4 
5. (x + a)² + (y + b)² = a² + b² 

6. Centre = (–5, 3), radius = 6 
7. Centre = (2, 4), radius = √65 
8. Centre = (4, –5), radius = √29 
9. Centre = (1/4, 0), radius = 1/4 

Exercise 10.2

1. Focus (3, 0), directrix x = –3, axis along x-axis, latus rectum = 12 
2. Focus (0, 3/2), directrix y = –3/2, axis along y-axis, latus rectum = 6 
3. Focus (–2, 0), directrix x = 2, axis along x-axis, latus rectum = 8 
4. Focus (0, –4), directrix y = 4, axis along y-axis, latus rectum = 16 
5. Focus (5/2, 0), directrix x = –5/2, axis along x-axis, latus rectum = 10 
6. Focus (0, –9/4), directrix y = 9/4, axis along y-axis, latus rectum = 9 
Exercise 10.3


1. a = 6, b = 4, c = √20 
Foci = (±√20, 0), vertices = (±6, 0), major axis = 12, minor axis = 8 

2. a = 5, b = 2, c = √21 
Foci = (0, ±√21), vertices = (0, ±5), major axis = 10, minor axis = 4 
 

Answers may vary.

Why NCERT solutions help students?

NCERT solutions help students understand concepts clearly and prepare effectively for exams. They provide the correct approach to solving problems, improve accuracy, and build confidence. Regular practice with NCERT-aligned answers strengthens fundamentals and supports better academic performance.

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