RU-ALLRUSSIAN 1963 Problem 5
Given a circle c and two fixed points A, B on it. M is another point on c, and K is the midpoint of BM. P is the foot of the perpendicular from K to AM.
(a) prove that KP passes through a fixed point (as M varies); (b) find the locus of P.
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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