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Part of 2003 Iran MO (3rd Round)

Problems(1)

a fixed point on circle AMN

Source: Iranian National Olympiad (3rd Round) 2003

1/24/2009
A,B A,B are fixed points. Variable line l l passes through the fixed point C C. There are two circles passing through A,B A,B and tangent to l l at M,N M,N. Prove that circumcircle of AMN AMN passes through a fixed point.
geometrycircumcirclegeometry proposed