MathDB

12.6

Part of 2002 Moldova National Olympiad

Problems(1)

One interesting locus [collinear points and circle]

Source: Moldavian Olympiad

9/30/2004
Let A,B,C be three collinear points and a circle T(A,r). If M and N are two diametrical opposite variable points on T, Find locus geometrical of the intersection BM and CN.
geometrygeometric transformationhomothetyprojective geometrygeometry solved