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Thursday, August 26, 2010
Indian National Mathematics Olympiad 2004 Problems
Indian National Mathematics Olympiad 2004 Problems1. ABCD is a convex quadrilateral. K, L, M, N are the midpoints of the sides AB, BC, CD, DA. BD bisects KM at Q. QA = QB = QC = QD, and LK/LM = CD/CB. Prove that ABCD is a square.
