Two straight lines rotate about two fixed points

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Two straight lines rotate about two fixed points. If they start from their position of coincidence such that one rotates at the rate double that of the other. Prove that the locus of their point of intersection is a circle.

Related theory

Angle Measurement
Trigonometric Functions
Cartesian Coordinate System
Locus
Coordinate Geometry
Loci

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