f the distances from the origin of the centers of three circles x\power{2}+y\power{2}+2?\index{i}x-c=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\power{2}+y\power{2}=c\power{2} are in GP
f the distances from the origin of the centers of three circles x\power{2}+y\power{2}+2?\index{i}x-c=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\power{2}+y\power{2}=c\power{2} are in GP
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If the distances from the origin of the centers of three circles x\power{2}+y\power{2}+2?\index{i}x-c=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\power{2}+y\power{2}=c\power{2} are in GP.
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