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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.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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