EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 16th April 2018>Q 57

HARD

JEE Main

IMPORTANT

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If a circle $C$ , whose radius is $3$ , touches externally the circle $x^{2} + y^{2} + 2 x - 4 y - 4 = 0$ at the point $(2, 2)$ , then the length of the intercept cut by this circle $C$ on the $x$ -axis is equal to

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Important Questions on Circle

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 2nd April 2017>Q 58

The radius of a circle, having minimum area, which touches the curve

y = 4 - x^{2}

and the lines,

y = |x|

is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 8th April 2017>Q 59

If two parallel chords of a circle, having diameter

4

units, lie on the opposite sides of the center and subtend angles

\cos^{- 1} (\frac{1}{7})

and

\sec^{- 1} (7)

at the center respectively, then the distance between these chords is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 8th April 2017>Q 60

If a point

P (0, - 2)

and

Q

is any point on the circle,

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

, then the maximum value of

{(P Q)}^{2}

is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 9th April 2017>Q 61

A line drawn through the point

P (4, 7)

cuts the circle

x^{2} + y^{2} = 9

at the points

A

and

B

. Then

P_{A} \cdot P_{B}

is equal to.

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 9th April 2016>Q 62

A circle passes through

(- 2, 4)

and touches the

y -

axis at

(0, 2)

. Which one of the following equations can represent a diameter of this circle ?

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 3rd April 2016>Q 63

If one of the diameters of the circle, given by the equation,

x^{2} + y^{2} - 4 x + 6 y - 12 = 0,

is a chord of a circle

S

, whose centre is at

(- 3, 2)

, then the radius of

S

is

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 10th April 2016>Q 64

Equation of the tangent to the circle, at the point

(1, - 1)

, whose center, is the point of intersection of the straight lines

x - y = 1

and

2 x + y = 3

is:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 10th April 2015>Q 65

If

y + 3 x = 0

is the equation of a chord of the circle

x^{2} + y^{2} - 30 x = 0

, then the equation of the circle with this chord as diameter is :