# NCERT Solutions for Class 11 Maths Chapter 11 – Conic Sections

NCERT Solutions for Class 11 Maths Chapter 11 are surely going to support you while solving your homework assignments and preparing for your maths exam. The NCERT Solutions are devised by the highly experienced subject matter experts at Instasolv thus ensuring 100% accuracy and quality. Chapter 11 helps you grasp the understanding of one dimensional but curved geometric figures like a cone, circle, parabola, hyperbola, ellipse etc., along with providing formulas.

Just knowing the concepts and geometric figures covered in Chapter 11 is not going to help you do well. You will have to learn how to apply the knowledge gained from this chapter in solving the problems and equations using different formulas. For this very purpose, the NCERT Solutions for Class 11 Maths Chapter 11 have been designed.

Chapter 11 of NCERT Textbook has around 4 exercises at the end to test your capability and retention capacity. All these 4 exercises have a total of 62 questions which have been solved by the Instasolv experts to provide you guidance and to sort out all your doubts. Practising the exercises, along with going through the examples solved within this chapter is of utmost importance if you wish to score good marks in the questions related to conic sections.

## Important Topics for NCERT Solutions for Class 11 Maths Chapter 11

Before we delve deeper into the concepts of NCERT Solutions for Class 11 Maths Chapter 11, you must know what the chapter title Conic Section means. A right circular cone and a plane when interest a conic section or conic is formed. Some well-known examples of the conic sections include circles, ellipses, hyperbola and parabola. Here are some of the important topics of the chapter.

**Circle**

When all the points on a plane are located at equidistance from a particular point on the plane that becomes a circle in which the fixed point is the centre of the circle and the radius is the distance between the centre point to any other points on the circle.

**Concentric Circles:** Those circles which have the same centre point are known as concentric circles.

Different equations of the circle:

- When radius is r and centre is h, k, then the equation is (x-h)
^{2}+ (y-k)^{2}=r^{2}When radius is r and centre (0, 0) then the equation is x^{2}+y^{2}= r^{2} - Equation is (x-x1) (x-x2) + (y-y1) (y-y2) =0, when ends of diameter are x1, y1 and x2, y2.

**Parabola**

Every point on the plane which is situated at an equal distance from a fixed point on the plane as well as a fixed-line on the plane is called a parabola.

**Equation of parabola:** (a^{2} + b^{2}) [(x – x1)^{2} + (y – y1)^{2}] = (ax + by + c)^{2} in which S(x1, y1) is focus of parabola and ax + by + c = 0 is the directrix of the parabola.

**Ellipse**

When the sum of the distance of all points from two particular points on the plane is constant that is when an ellipse is formed.

**Two forms of the ellipse:**

- x
^{2}/a^{2}+ y^{2}/b^{2}= 1 - x
^{2}/b^{2}+ y^{2}/a^{2}= 1

**Hyperbola **

When the difference of the distance of all points from the two particular points on the plane is constant that is when a hyperbola is formed.

T**wo forms of a hyperbola:**

- x
^{2}/a^{2}– y^{2}/b^{2}= 1 - x
^{2}/b^{2}-y^{2}/a^{2}=1

### Exercise Discussion of NCERT Solutions for Class 11 Maths Chapter 11

- There are 4 exercises which are present at the end of Chapter 11 of NCERT Maths textbook.
- Exercise 11.1 has around 10 questions which help you understand how to find the equation of the circles and some other questions which test your ability to find the radius and centre of the circles.
- The second exercise: Exercise 11.2 deals with questions regarding parabola like finding the equation and axis of the parabola, equation of directrix and so on.
- While Exercise 11.3 gives you the opportunity to solve questions associated with ellipse and Exercise 11.4 deals with questions related to a hyperbola.

### Why NCERT Solutions for Class 11 Maths Chapter 11 by Instasolv are Important?

Chapter 11 of CBSE Class 11 Maths syllabus is not an easy chapter to study because of the numerous equations and formulas given in it. So, in order to remember all the formulas, you should refer to the NCERT Solutions for Class 11 of the chapter given by Instasolv. The answers to each question of the exercise are provided in great details with the step-by-step solutions. Whenever you get stuck solving any question, you can check the answer from the NCERT solutions. The solutions will instil a habit of practice in you so that on a regular basis you can solve at least four to five questions related to the conic sections. This will make your exam preparation stress-free and top-notch.