RU-ALLRUSSIAN 1991 Problem 21
ABCD is a square. The points X on the side AB and Y on the side AD are such that AX·AY = 2 BX·DY. The lines CX and CY meet the diagonal BD in two points. Show that these points lie on the circumcircle of AXY.
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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