Home
Class 11
MATHS
If the lengths of the tangents drawn fro...

If the lengths of the tangents drawn from P to the circles `x ^(2) + y ^(2) -2x + 4y -20=0 and x ^(2) + y^(2) -2x -8y +1=0` are in the ratio `2:1`, then the locus of p is

A

`x ^(2) + y^(2) + 2x + 12 y + 8=0`

B

`x ^(2) + y ^(2) -2x + 12y + 8=0`

C

`x ^(2) + y^(2) + 2x -12 y + 8=0`

D

`x ^(2) + y ^(2) - 2x -12 y + 8=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The equations of the tangents drawn from the point (0,1) to the circle x^1+y^2-2x+4y=0 are

The length of the tangent from the origin to the circle 3x^2 +3y^2-4x-6y+2=0 is

If P is a point such that the ratio of the squares of the lengths of the tangents from P to the circles x^2+y^2+2x-4y-20=0 and x^2+y^2-4x+2y-44=0 is 2:3 , then the locus of P is a circle with centre

The centres of the circles x ^(2) + y ^(2) =1, x ^(2) + y^(2)+ 6x - 2y =1 and x ^(2) + y^(2) -12 x + 4y =1 are

The length of the tangent from the point (-3,8) to the circle x^2 +y^2-8x+2y+1=0 is

The length of tangent from the point (2,-3) to the circle 2x^2 +2y^2=1 is

The square of the length of the tangent from(3,-4) on the circle x^2+y^2-4x-6y+3=0 is

The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+18y+26=0 , is

The length of the tangents drawn from any point on the circle x^2+y^2+2gx+2fy+C_1=0 to the circle x^2+y^2+2gx+2fy+C_2=0 is