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

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JEE Main

IMPORTANT

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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 ?

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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 - 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

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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:

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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 :

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 10th April 2015>Q 66

Let the tangents drawn to the circle,

x^{2} + y^{2} = 16

from the point

P (0, h)

meet the

x

-axis at points

A

and

B

. If the area of

Δ A P B

is minimum, then positive value of

h

is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 4th April 2015>Q 67

The number of common tangents to the circles

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

and

x^{2} + y^{2} + 6 x + 18 y + 26 = 0

, is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 11th April 2015>Q 68

If a circle passing through the point

(- 1, 0)

touches

y

-axis at

(0, 2)

, then the

x

-intercept of the circle is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 11th April 2015>Q 69

If the incentre of an equilateral triangle is

(1, 1)

and the equation of its one side is

3 x + 4 y + 3 = 0

, then the equation of the circumcircle of this triangle is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 15 - Circle>JEE Main - 19th April 2014>Q 70

The equation of the circle described on the chord

3 x + y + 5 = 0

of the circle

x^{2} + y^{2} = 16

as the diameter is