RU-ALLRUSSIAN 1986 Problem 7
Two circles intersect at P and Q. A is a point on one of the circles. The lines AP and AQ meet the other circle at B and C respectively. Show that the circumradius of ABC equals the distance between the centers of the two circles. Find the locus of the circumcircle as A varies.
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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