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Orthocentre is collinear with two tangent points

Source: Chinese MO 1996

July 29, 2010
geometrycircumcircletrigonometryconicssimilar trianglesChina

Problem Statement

Let △ABC\triangle{ABC} be a triangle with orthocentre HH. The tangent lines from AA to the circle with diameter BCBC touch this circle at PP and QQ. Prove that H,PH,P and QQ are collinear.
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