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collinear with H wanted, tangents through A at circle of diameter BC

Source: Mahidol Center Representative Selection Exam 2018 p3 , Thailand - 1997 Moldova TST p7

November 6, 2022
geometrycollinear

Problem Statement

Let ABCABC be a triangle with orthocenter HH. Let the circle ω\omega have BCBC as the diameter. Draw tangents APAP, AQAQ to the circle ω\omega at the point P,QP, Q respectively. Prove that P,H,Q P,H,Q lie on the same line .
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