The squared length of the intercept made by the line `x=h` on the pair of tangents drawn from the origin to the circle `x^2+y^2+2gx+2fy+c=0` is `(4c h^2)/((g^2-c)^2)(g^2+f^2-c)` `(4c h^2)/((f^2-c)^2)(g^2+f^2-c)` `(4c h^2)/((f^2-f^2)^2)(g^2+f^2-c)` (d) none of these

The squared length of the intercept made by the line x=h on the pair of tangents drawn from the origin to the circle x^2+y^2+2gx+2fy+c=0 is (a) (4c h^2)/((g^2-c)^2)(g^2+f^2-c) (b) (4c h^2)/((f^2-c)^2)(g^2+f^2-c) (c) (4c h^2)/((f^2-f^2)^2)(g^2+f^2-c) (d) none of these

The squared length of the intercept made by the line x=h on the pair of tangents drawn from the origin to the circle x^(2)+y^(2)+2gx+2fy+c=0 is (4ch^(2))/((g^(2)-c)^(2))(g^(2)+f^(2)-c)(4ch^(2))/((f^(2)-c)^(2))(g^(2)+f^(2)-c)(4ch^(2))/((f^(2)-f^(2))^(2))(g^(2)+f^(2)-c)(d) none of these

The equation of the tangtnt to the circle x^(2)+y^(2)+2 g x+2 f y+c=0 at the origin 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 .

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 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 .

Show that the circle S = x^(2) +y^(2) +2gx +2fy +c=0 touches the y - axis if f^(2) =c

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 angle between the tangents drawn to x^2+y^2+2gx+2fy+c=0 from (0, 0) is pi/2, then (a) g^2+f^2=3c (b) g^2+f^2=2c (c) g^2+f^2=5c (d) g^2+f^2=4c

If the angle between the tangents drawn to x^2+y^2+2gx+2fy+c=0 from (0, 0) is pi/2, then (a) g^2+f^2=3c (b) g^2+f^2=2c (c) g^2+f^2=5c (d) g^2+f^2=4c