Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 3 - Circle>3.1>Q 4

MEDIUM

JEE Main

IMPORTANT

Earn 100

Find the equation of the circle touching $x -$ axis and having centre at $(4, 3)$ .

Important Questions on Circle

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 3 - Circle>3.1>Q 4

Find the equation of the circle touching x-axis at the origin and having radius

10

.

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 3 - Circle>3.1>Q 5

Find the equation of the circle having radius

5

and passing through two points on

x

-axis at distances

4

from the origin.

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 3 - Circle>3.1>Q 6

Find the equation of a circle with centre

(2, 2)

and passes through the point

(4, 5) .

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 3 - Circle>3.1>Q 7

Find the equation of image of the circle

(x - 1)^{2} + (y + 2)^{2} = 5^{2}

in the x-axis.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 3 - Circle>3.1>Q 8

Find the equation of the circle passing through the point

(2, 4)

and centre at the point of intersection of the lines

x - y = 4

and

2 x + 3 y = - 7

.

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 3 - Circle>3.1>Q 9

If the equations of two diameters of a circle are

2 x + y = 6

and

3 x + 2 y = 4

and the radius is

10

, find the equation of the circle.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 3 - Circle>3.1>Q 10

Find the equation of the circle which passes through the point of intersection of

3 x - 2 y - 1 = 0

and

4 x + y - 27 = 0

and whose centre is

(2, 3)

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 3 - Circle>3.1>Q 11

Find the equation of the circle whose centre is $(2, - 3)$ and which passes through the intersection of the lines $3 x + 2 y = 11 and 2 x + 3 y = 4$ .