If the length of the tangent from a point (f,g) to the circle `x^2+y^2=4` be four times the length of the tangent from it to the circle `x^(2)+y^(2)=4x`, show that `15f^(2)+15g^(2)-64f+4=0`

If the length of the tangent from (f,g) to the circle x^(2)+y^(2)=6 be twice the length of the tangent from the same point to the circle x^(2)+y^(2)+3x+3y=0, then

If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is twice the length of the tangent from the same point to the circle x^(2)+y^(2)+2x+2y=0 , then

Show that if the length of the tangent from a point P to the circle x^2 + y^2 = a^2 be four times the length of the tangent from it to the circle (x-a)^2 + y^2 = a^2 , then P lies on the circle 15x^2 + 15y^2 - 32ax + a^2=0 .

The length of the tangent from (0, 0) to the circle 2(x^(2)+y^(2))+x-y+5=0 , is

The length of the tangent from (1,1) to the circle 2x^(2)+2y^(2)+5x+3y+1=0 is

If the length of the tangent from (5,4) to the circle x^(2) + y^(2) + 2ky = 0 is 1 then find k.

If the length of the tangent drawn from (f, g) to the circle x^2+y^2= 6 be twice the length of the tangent drawn from the same point to the circle x^2 + y^2 + 3 (x + y) = 0 then show that g^2 +f^2 + 4g + 4f+ 2 = 0 .

If the length of tangent drawn from the point (5,3) to the circle x^2+y^2+2x+ky+17=0 is 7, then k= ?

The pair of tangents from origin to the circle x^(2)+y^(2)+4x+2y+3=0 is

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