VMO 1981 Problem 6
Two circles touch externally at A. P is a point inside one of the circles, not on the line of centers. A variable line L through P meets one circle at B (and possibly another point) and the other circle at C (and possibly another point). Find L such that the circumcircle of ABC touches the line of centers at A.
Community text Kalva (prase.cz mirror). Quoted with source.
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