If the distances from the origin of the centers of three circles `x^2+y^2+2lambdax-c^2=0,(i=1,2,3),` are in GP, then prove that the lengths of the tangents drawn to them from any point on the circle `x^2+y^2=c^2` are in GP.

If the distances from the origin of the centers of three circles x^(2)+y^(2)+2 lambda x-c^(2)=0,(i=1,2,3), are in GP,then prove that the lengths of the tangents drawn to them from any point on the circle x^(2)+y^(2)=c^(2) are in GP.

The length of the tangent drawn from the point (2,3) to the circle 2(x^(2)+y^(2))-7x+9y-11=0

Prove that the lengths of the tangents from any point on the line 3x-8y+2=0 to the circles x^(2)+y^(2)-4x+6y+8=0 are equal

Find the length of a tangent drawn from the point (3,4) to the circle x ^(2) + y ^(2) - 4x + 6y -3=0.

The length of the tangent drawn from the point (2, 3) to the circles 2(x^(2) + y^(2)) – 7x + 9y – 11 = 0 .