Two rods are rotating about two fixed points in opposite directions. If they start from their position of coincidence and one rotates at the rate double that of the other, then prove that the locus of point of the intersection of the two rods is hyperbola.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 19RE
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Two rods are rotating about two fixed points in opposite
directions. If they start from their position of coincidence and
one rotates at the rate double that of the other, then prove that
the locus of point of the intersection of the two rods is hyperbola.
Transcribed Image Text:Two rods are rotating about two fixed points in opposite directions. If they start from their position of coincidence and one rotates at the rate double that of the other, then prove that the locus of point of the intersection of the two rods is hyperbola.
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