variable circle through the origin and touching the hyperbola xy = c

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 25E
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A variable circle through the origin and touching the hyperbola xy=c²at some point, cuts the hyperbola
again at two distinct points A and B. Find the locus of the foot of the perpendicular drawn from the
origin to the line AB.
Transcribed Image Text:A variable circle through the origin and touching the hyperbola xy=c²at some point, cuts the hyperbola again at two distinct points A and B. Find the locus of the foot of the perpendicular drawn from the origin to the line AB.
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