# 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-12.2

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

Exe-12.3

### 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:

x2y= a2

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

xy= 82

xy2= 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)+ (y-5)2  = 42

x– 6x + 9 + y-10y +25 = 16

x+y-6x -10y + 18 =0

Exe-12.5

### Exe-12.6

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

Chapter Test

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

-: End of Circles ISC Class-11 ML Aggarwal Maths Understanding Chapter-12 Solution :-

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