MathDB
Korea Second Round 2011

Source: Korea Second Round 2011 #6

August 21, 2011
geometrygeometry proposed

Problem Statement

Let ABCABC be a triangle and its incircle meets BC,AC,ABBC, AC, AB at D,ED, E and FF respectively. Let point P P on the incircle and inside △AEF \triangle AEF . Let X=PB∩DF,Y=PC∩DE,Q=EX∩FY X=PB \cap DF , Y=PC \cap DE, Q=EX \cap FY . Prove that the points A A and QQ lies on DPDP simultaneously or located opposite sides from DPDP.
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