Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 22

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IMPORTANT

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Equation of the circumcircle of equilateral $Δ A B C$ is $x^{2} + y^{2} + 2 a x + 2 b y = 0 .$ If one vertex of the triangle coincides with origin, then equation of incircle of $Δ A B C$ is

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Important Questions on Circle

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 23

Let

P Q

and

R S

be tangents at the extremities of diameter

P R

of a circle of radius

r

. If

P S

and

R Q

intersect at a point

X

on the circumference of the circle, then

2 r

equals

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 24

If the angle between tangents drawn to

x^{2} + y^{2} + 2 g x + 2 f y + c = 0

from

(0, 0)

is

\frac{π}{2}

, then

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JEE Advanced

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 25

Coordinates of the midpoint of the segment cut by the circle

x^{2} + y^{2} - 6 x + 2 y - 54 = 0

on the line

2 x - 5 y + 18 = 0

, is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 26

If

A B

is a chord of the circle

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

subtending a right angle at the centre. Then, the locus of the centroid of

Δ P A B

as

P

moves on the circle, is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 27

The number of common tangents to the circles

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

and

x^{2} + y^{2} - 6 x - 8 y = 24

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 28

Combined equation of tangents drawn to

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

from

(- 1, - 1),

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 29

The radius of the circle touching the straight lines

x - 2 y - 1 = 0

and

3 x - 6 y + 7 = 0,

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 30

If a circle having the point

(- 1, 1)

as its centre touches the straight line

x + 2 y + 9 = 0,

then the coordinates of the point(s) of contact are