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MathNet 2026 — Part 04 Question 78

Math Olympiad Vault · MathNet 2026 — Part 04

Question 78

Let $ABC$ a triangle, $\Gamma$ its circumscribed circle and $\Omega$ another circle passing through the dots $A$ and $B$. The right $(AC)$ cuts the circle $\Omega$ at a point $D$ and the tangent to the circle $\Gamma$ in $B$ cuts $\Omega$ to a point $E$. Show that the lines $(BC)$ and $(DE)$ are parallel. Question illustration