ML Aggarwal Circles ISC Class-11 Maths Understanding

ML Aggarwal Circles ISC Class-11 Maths Understanding Solutions Chapter-12. Step by step Solutions of ML Aggarwal ISC Class-11 Mathematics with Exe-1, Exe-2, Exe-3 Exe-4, Exe-5, Exe-6, and Chapter Test Questions. Visit official Website CISCE for detail information about ISC Board Class-11 Mathematics.

ML Aggarwal Circles ISC Class-11 Maths Understanding Ch-12

Board	ISC
Class	11
Subject	Mathematics
Chapter-12	Circles
Session	2024-25
Topics	Solutions of ML Aggarwal

Exe-12.1

Exe-12.2

ML Aggarwal Circles ISC Class-11 Maths Understanding Ch-12

Exe-12.3

Circles ISC Class-11 Maths Understanding Ch-12

Exe-12.4

ML Aggarwal Circles Class-11 Maths Understanding Ch-12

How to Find the Equation of the Circle?

Here, some solved problems are given to find the equation of a circle on both cases such as when the centre of a circle is origin and centre is not an origin is given below.

Example 1:

Consider a circle whose centre is at the origin and radius is equal to 8 units.

Solution:

Given: Centre is (0, 0), radius is 8 units.

We know that the equation of a circle when the centre is origin:

x²+ y²= a²

For the given condition, the equation of a circle is given as

x²+ y²= 8²

x²+ y²= 64, which is the equation of a circle

Example 2:

Find the equation of the circle whose centre is (3,5) and the radius is 4 units.

Solution:

Here, the centre of the circle is not an origin.

Therefore, the general equation of the circle is,

(x-3)²+ (y-5)² = 4²

x²– 6x + 9 + y²-10y +25 = 16

x²+y²-6x -10y + 18 =0

Exe-12.5