RU-ALLRUSSIAN 1989 Problem 11
ABCD is a convex quadrilateral. X lies on the segment AB with AX/XB = m/n. Y lies on the segment CD with CY/YD = m/n. AY and DX intersect at P, and BY and CX intersect at Q. Show that area XQYP/area ABCD < mn/(m² + mn + n²).
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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