MathDB
Circle and Tangent lines

Source: Pan African 2000

October 3, 2005
geometrytrigonometry

Problem Statement

Let γ\gamma be circle and let PP be a point outside γ\gamma. Let PAPA and PBPB be the tangents from PP to γ\gamma (where A,B∈γA, B \in \gamma). A line passing through PP intersects γ\gamma at points QQ and RR. Let SS be a point on γ\gamma such that BS∥QRBS \parallel QR. Prove that SASA bisects QRQR.
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