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.

The equation of tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0

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

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 .

Pair of tangents are drawn from origin to the circle x^2 + y^2 – 8x – 4y + 16 = 0 then square of length of chord of contact is

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.

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 two perpendicular tangents can be drawn from the origin to the circle x^2-6x+y^2-2p y+17=0 , then the value of |p| is___

If two perpendicular tangents can be drawn from the origin to the circle x^2-6x+y^2-2p y+17=0 , then the value of |p| is___

find the area of the quadrilateral formed by a pair of tangents from the point (4,5) to the circle x^2 + y^2 -4x -2y-11 = 0 and pair of its radii.