Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 10

HARD

11th ICSE

IMPORTANT

Earn 100

Find the equation of the circle which has its centre on the line $y = 2$ and which passes through the points $(2, 0)$ and $(4, 0)$ .

Important Questions on Circles

HARD

11th ICSE

IMPORTANT

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

Find the equation of the circle which passes through the points $(1, - 2), (4, - 3)$ and has its centre on the line $3 x + 4 y + 10 = 0$ .

HARD

11th ICSE

IMPORTANT

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

Find the equation of the circle passing through the three points

(0, 0), (0, 1) and (2, 3)

. Also find its centre and radius.

EASY

11th ICSE

IMPORTANT

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

Find the equation of the circle passing through the three points

(0, 2), (3, 0) and (3, 2)

. Also find its centre and radius.

MEDIUM

11th ICSE

IMPORTANT

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

Find the equation of the circle passing through the three points

(5, 7), (6, 6) and (2, - 2)

. Also find its centre and radius.

MEDIUM

11th ICSE

IMPORTANT

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

Find the equation of the circle passing through the three points

(1, 2), (3, - 4) and (5, - 6)

. Also find its centre and radius.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 13

Show that the points

(7, 1), (- 2, 4), (5, 5) and (6, 4)

are concyclic. Also find the equation, centre and radius of the circle on which they lie.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 14

The vertices

A, B, C

of a triangle

A B C

have coordinates

(4, 4), (5, 3) and (6, 0)

respectively. Find the equations of the perpendicular bisector of

A B

and

B C

, the coordinates of the circumcentre and the equation of the circumcircle of

∆ A B C

.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 15

Find the equation of the circle circumscribing the triangle formed by the lines

x + y = 6, x - y = 4, 2 x - y = 3 .