If the distances from the origin of the centers of three circl x² + y² + 2A₁x − c = 0, (i = 1, 2, 3), are in GP, then prove th - the lengths of the tangents drawn to them from any point o the circle x² + y² = c² are in GP.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If the distances from the origin of the centers of three circles
x² + y² + 21₁x − 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 x² + y² = c² are in GP.
Transcribed Image Text:If the distances from the origin of the centers of three circles x² + y² + 21₁x − 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 x² + y² = c² are in GP.
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