Shortlisted Problems with Solutions
Denote by P the foot of the perpendicular from the center of ω to ℓ. The side-lines BC,CA,AB intersect ℓ at the points X,Y,Z different from P. Prove that the circumcircles of the triangles AXP,BYP and CZP have a common point different from P or are mutually tangent at P.
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52 Mathematical Olympiad - imo-official.org
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Shortlisted Problems with Solutions
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