Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 17

MEDIUM

11th ICSE

IMPORTANT

Earn 100

Find the equation of a circle which passes through origin and cuts off intercepts $a$ and $b$ on the coordinate axes.

Important Questions on Circles

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 18

Find the equation of the circle drawn on the intercept made by the line

3 x + 4 y = 12

between the coordinates axes as diameter.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 19

A (1, 0)

and

B (7, 0)

are two points on the axis of

x

. A point

P

is taken in the first quadrant such that

P A B

is an isosceles triangle and

P A = P B = 5

units. Find the equation of the circle described on

P A

as diameter.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 20

Find the equation of the circle circumscribing square

A B C D

with side

l

unit and

A B

and

A D

as coordinate axes.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 21

Find the equation of the circle drawn on a diagonal of the rectangle as its diameter whose sides are the lines given by

x = 4, x = - 2, y = 5

and

y = - 2

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 21

Find the equation of the circle drawn on a diagonal of the rectangle as its diameter whose sides are the lines given by

x = 5, x = 8, y = 4

and

y = 7

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 12 - Circles>EXERCISE>Q 22

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

x = 6 . x = - 3, y = 3, y = - 1

.

EASY

11th ICSE

IMPORTANT

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

Is the equation

x^{2} + y^{2} + 4 x - 4 y - 1 = 0

represent a circle? If so, determine its centre and radius.

EASY

11th ICSE

IMPORTANT

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

Is the equation

2 x^{2} + 2 y^{2} = 3 x - 5 y + 7

represent a circle? If so, determine its centre and radius.