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MathNet 2026 — Part 04 Question 175

Math Olympiad Vault · MathNet 2026 — Part 04

Question 175

The point $P$ is a fixed point on a circle and $Q$ is a fixed point on a line. The point $R$ is a variable point on the circle such that $P$, $Q$ and $R$ are not collinear. The circle through $P$, $Q$ and $R$ meets the line again at $V$. Show that the line $VR$ passes through a fixed point.