Tangents drawn from the origin to the circle `x^2 + y^2 + 2gx + 2fy + f^2 = 0` are perpendicular if

Tangents drawn from the origin to the circle x^(2)+y^(2)-2ax-2by+a^(2)=0 are perpendicular if

The tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0 are perpendicular if

The tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0 are perpendicular if

The tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0 are perpendicular if

Find the pair of tangents from the origin to the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 and hence deduce a condition for these tangents to be perpendicular.

Find the conditions that the tangents drawn from the exteriorpoint (g,f) to S= x^(2) + y ^(2) + 2gx + 2fy + c=0 are perpendicular to each other.