## Topics/Questions discussed in this video:

In this lecture I have discussed ncert solutions for Exercise 11.1 of Chapter 11 Conic Sections Class 11 Maths.

00:00:05 How to study Conic Sections in Class 11

00:05:31 Introduction to Circle, Parabola, Ellipse and Hyperbola

00:07:31 Animation to understand why they are called conic sections

00:09:51 How to derive equation of circle

In each of the following Exercises 1 to 5, find the equation of the circle with

00:13:51 NCERT Solutions Exercise 11.1 Question 1 centre (0,2) and radius 2

00:16:41 NCERT Solutions Exercise 11.1 Question 2 centre (–2,3) and radius 4

00:18:31 NCERT Solutions Exercise 11.1 Question 3 centre \left ( \frac{1}{2}, \frac{1}{4} \right ) and radius \frac{1}{12}

00:21:41 NCERT Solutions Exercise 11.1 Question 4 centre (1,1) and radius \sqrt{2}

00:22:52 NCERT Solutions Exercise 11.1 Question 5 centre (–a, –b) and radius \sqrt{a^2-b^2}

In each of the following Exercises 6 to 9, find the centre and radius of the circles.

00:25:32 NCERT Solutions Exercise 11.1 Question 6 (x+5)^2+(y-3)^2=36

00:26:52 NCERT Solutions Exercise 11.1 Question 7 x^2+y^2-4x-8y-45=0

00:31:02 NCERT Solutions Exercise 11.1 Question 8 x^2+y^2-8x+10y-12=0

00:33:22 NCERT Solutions Exercise 11.1 Question 9 2x^2+2y^2-x=0

00:36:02 NCERT Solutions Exercise 11.1 Question 15 Does the point (–2.5, 3.5) lie inside, outside or on the circle x^2+ y^2 = 25?

00:42:42 NCERT Solutions Exercise 11.1 Question 14 Find the equation of a circle with centre (2,2) and passes through the point (4,5).

00:45:42 NCERT Solutions Exercise 11.1 Question 12 Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3).

00:51:42 NCERT Solutions Exercise 11.1 Question 13 Find the equation of the circle passing through (0,0) and making intercepts a and b on the coordinate axes.

00:59:42 NCERT Solutions Exercise 11.1 Question 10 Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16.

01:08:32 NCERT Solutions Exercise 11.1 Question 11 Find the equation of the circle passing through the points (2,3) and (–1,1) and whose centre is on the line x – 3y – 11 = 0.