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locus of circumcenters of AMK, related to a line passing though vertex B

Source: Sharygin 2010 Final 9.6

October 6, 2018
geometryLocusLocus problemsCircumcentercircumcircle

Problem Statement

An arbitrary line passing through vertex BB of triangle ABCABC meets side ACAC at point KK and the circumcircle in point MM. Find the locus of circumcenters of triangles AMKAMK.