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BdMO National Higher Secondary 2019/3

Source: BdMO National Higher Secondary 2019/3

March 4, 2019
geometry

Problem Statement

Let α\alpha and ω\omega be two circles such that ω\omega goes through the center of α\alpha.ω\omega intersects α\alpha at AA and BB.Let PP any point on the circumference ω\omega.The lines PAPA and PBPB intersects α\alpha again at EE and FF respectively.Prove that AB=EFAB=EF.
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