Home
Class 12
MATHS
Find the equation of the circles which t...

Find the equation of the circles which touch `2x-3y+1=0` at (1,1) and having radius `sqrt(13)`.

A

`(x+1)^(2)+(y-4)^(2)=13`

B

`(x-1)^(2)+(y-4)^(2)=13`

C

`(x-1)^(2)+(y+4)^(2)=13`

D

`(x+1)^(2)+(y+4)^(2)=13`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

Find the equation of the circle touching : x-axis at the origin and having radius 10

The equation (s) of circle (s) touching 12x - 5y = 7 at (1, 1) and having radius 13 is/are

Find the equation of the circle with centre : (1, 1) and radius sqrt(2)

The equation of a circle which touches the line y = x at (1 , 1) and having y = x -3 as a normal, is

(i) Find the equation of circle which touches x^(2)+y^(2)-4x+6y-12=0 at (-1,1) internally with a radius of 2.

Find the equations of the circles touching the lines y=0 and y=sqrt(3) (x+1) and having the centres at a distance 1 from the origin.

Find the equation of circle touching the line 2x + 3y + 1=0 at the point ( 1,-1) and is orthogonal to the circle which has the line segment having end poitns (0,-1) and (-2,3) as the diameter.

Find the equation of the circle having center at (2,3) and which touches x+y=1 .

Find the equation of the circle which touches the lines 4x-3y+10=0a n d4x-3y-30=0 and whose centre lies on the line 2x+y=0.