Tangents `OP` and `OQ` are drawn from the origin o to the circle `x^2 + y^2 + 2gx + 2fy+c=0.` Find the equation of the circumcircle of the triangle `OPQ`.

Tangents OP and OQ are drawn from the origin O to the circle x^(2) +y^(2) + 2gx + 2fy +c =0 . Then the equation of the circumcircle of the triangle OPQ is :

Tangents OA and OB are drawn from the origin to the circle (x-1)^2 + (y-1)^2 = 1 . Then the equation of the circumcircle of the triangle OAB is : (A) x^2 + y^2 + 2x + 2y = 0 (B) x^2 + y^2 + x + y = 0 (C) x^2 + y^2 - x - y = 0 (D) x^2+ y^2 - 2x - 2y = 0

If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 , then

Tangent PQ and PR are drawn to the circle x^2 + y^2 = a^2 from the pint P(x_1, y_1) . Find the equation of the circumcircle of DeltaPQR .

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

A pair of tangents are drawn from the origin to the circle x^(2)+y^(2)+20(x+y)+20=0 Then find its equations.

If tangents are drawn from origin to the circle x^(2)+y^(2)-2x-4y+4=0, then

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