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19

Part of 2023 Sharygin Geometry Olympiad

Problems(1)

locus of coaxial circles intersection point

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

3/4/2023
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.
geometryLocuscircle intersectionsSharygin Geometry OlympiadSharygin 2023