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locus of coaxial circles intersection point

Source: Sharygin 2023 - P19 (Grade-10-11)

March 4, 2023
geometryLocuscircle intersectionsSharygin Geometry OlympiadSharygin 2023

Problem Statement

A cyclic quadrilateral ABCDABCD is given. An arbitrary circle passing through CC and DD meets AC,BCAC,BC at points X,YX,Y respectively. Find the locus of common points of circles CAYCAY and CBXCBX.
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