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`

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

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 .

Find the length of the tangents drawn from the point (3,-4) to the circle 2x^(2)+2y^(2)-7x-9y-13=0 .

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

Find the equations of the tangents to the circle x^(2) + y^(2)=16 drawn from the point (1,4).

Find the length of the chord cut-off by y=2x+1 from the circle x^2+y^2=2

Tangents drawn from a point on the circle x^2+y^2=9 to the hyperbola x^2/25-y^2/16=1, then tangents are at angle

Tangents drawn from the point (4, 3) to the circle x^2+y^2-2x-4y=0 are inclined at an angle :

Write the parametric form of equation of tangents drawn from any point on the circle x^(2) + y^(2) = 25

Find the point on the ellipse 16 x^2+11 y^2=256 where the common tangent to it and the circle x^2+y^2-2x=15 touch.