Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 39

HARD

JEE Advanced

IMPORTANT

Earn 100

The radius of a bigger circle touching the circle $x^{2} + y^{2} - 4 x - 4 y + 4 = 0$ and both the coordinate axes, is

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Important Questions on Circle

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 40

The two circles

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

and

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

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 41

Which of the following statement(s) is true regarding the following circles?

x^{2} + y^{2} - 4 x - 8 y = 0, x^{2} + y^{2} - 8 x - 6 y + 20 = 0

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 42

Circles are drawn having the sides of

Δ A B C

as the diameter. Radical centre of these circles is, the

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 43

The equation of a circle is

x^{2} + y^{2} = 25 .

The equation of its chord whose middle point is

(1, - 2),

is given by

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 44

A triangle is formed by the lines whose combined equation is given by

(x + y - 4) (x y - 2 x - y + 2) = 0 .

The equation of its circumcircle is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 45

The intercept on the line

y = x

by the circle

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

is

A B .

The equation of the circle with

A B

as a diameter, is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 46

If

p

and

q

are the longest distance and the shortest distance, respectively of the point

(- 7, 2)

from any point

(α, β)

on the curve whose equation is

x^{2} + y^{2} - 10 x - 14 y - 51 = 0,

then

GM

of

p

and

q

is equal to

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 13 - Circle>Target Exercises>Q 47

The number of points on the circle

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

which are at a distance of

2

units from the point

(- 2, 1),

is