Question 84
Let $AB$ and $CD$ be two nonperpendicular diameters of a circle centered at $O$, and let $Q$ be the reflection of $D$ about $AB$. The tangent at $B$ meets $AC$ at $P$, and $DP$ meets the circle again at $E$. Prove that lines $AE$, $BP$, and $CQ$ are concurrent.