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.

if the distances from the origin to the centre of three circles x^2+y^2+2lambda_ix-c^2=0(i=1,2,3) are in G.P. ,then the lengths of the tangents drawn to them from any point on the circle x^2+y^2=c^2 are in

If the distances from the origin to the centres of three circles x^(2)+y^(2)-2kix=c^(2), (i=1,2,3) are in G.P, then the length of the tangents drawn to them from any point on the circle x^(2)+y^(2)=c^(2)" are in "

If the distances from the origin to the centres of the three circles x^2+ y^2-2 lamda x= c^2 , where c is constant and lamda is variable, are in G.P., prove that the lengths of tangents drawn from any point on the circle x^2 +y^2= c^2 to the three circles are also in GP.

Find the lengths of the tangents drawn from the point. (-1,1) to the circle x^(2)+y^(2)-2x+4y+1=0

Find the length of the tangent drawn from the point (2, -1) to the circle x^2+y^2-6x+ 10y+18=0 .

Find the lengths of the tangents drawn from the point. (x_(1),y_(1)) to the circle x^(2)+y^(2)+2x=0

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