MathDB
Indian RMO 2014 P1

Source:

January 1, 2015
geometrycircumcircleAsymptoteperpendicular bisector

Problem Statement

Let ABCABC be a triangle with ∠ABC\angle ABC as the largest angle. Let RR be its circumcenter. Let the circumcircle of triangle ARBARB cut ACAC again at XX. Prove that RXRX is perpendicular to BCBC.
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