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Source: EGMO 2019 P4

April 10, 2019
geometryEGMO 2019power of a pointincircleincenter

Problem Statement

Let ABCABC be a triangle with incentre II. The circle through BB tangent to AIAI at II meets side ABAB again at PP. The circle through CC tangent to AIAI at II meets side ACAC again at QQ. Prove that PQPQ is tangent to the incircle of ABC.ABC.
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