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:

**x ^{2}+ y^{2 }= a^{2}**

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

x^{2 }+ y^{2 }= 8^{2}

x^{2 }+ y^{2}= 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} = 4^{2}

x^{2 }– 6x + 9 + y^{2 }-10y +25 = 16

x^{2 }+y^{2 }-6x -10y + 18 =0

**Exe-12.5**

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

**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 :-

Return to :- ML Aggrawal ISC Class-11 Understanding Maths Solutions

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