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Construct circle ...

Source: P-2 RMO Maharashtra and Goa 2019

November 10, 2019
geometryconstructionconstructive geometry

Problem Statement

Given a circle τ\tau, let PP be a point in its interior, and let ll be a line through PP. Construct with proof using ruler and compass, all circles which pass through PP, are tangent to τ\tau and whose center lies on line ll.