Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 1

EASY

11th ICSE

IMPORTANT

Earn 100

Is the equation $x^{2} + y^{2} - a x - b y = 0$ represent a circle? If so, determine its centre and radius.

Important Questions on Circles

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 2

The radius of the circle

x^{2} + y^{2} - 2 x + 3 y + k = 0

is

2 \frac{1}{2}

. Find the value of

k

. Find also the equation of the diameter of the circle which passes through the point

(5, 2 \frac{1}{2})

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 3

Find the equation of the circle the end points of whose one diameter are the centres of the circles

x^{2} + y^{2} + 6 x - 14 y + 5 = 0

and

x^{2} + y^{2} - 4 x + 10 y + 7 = 0

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 4

One end of a diameter of the circle

x^{2} + y^{2} - 3 x + 5 y - 4 = 0

is

(2, 1)

. Find the coordinates of the other end.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 5

Find the equation of the circle concentric with the circle

x^{2} + y^{2} - 8 x + 6 y - 5 = 0

and passing through the point

(- 2, - 7) .

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 6

Find the equation of the circle which passes through the centre of the circle

x^{2} + y^{2} - 4 x - 8 y - 41 = 0

and is concentric with the circle

x^{2} + y^{2} - 2 y + 1 = 0

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 7

Find the equation of the circle concentric with the circle

2 x^{2} + 2 y^{2} + 8 x + 10 y - 35 = 0

and with area

16 π

square units.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 8

Find the equation of the circle which is concentric with the circle

x^{2} + y^{2} - 4 x + 6 y - 3 = 0

and of double its circumference.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 8

Find the equation of the circle which is concentric with the circle

x^{2} + y^{2} - 4 x + 6 y - 3 = 0

and of double its area.