Vmo 2006 a2
Source:
February 28, 2006
geometrycircumcirclemodular arithmeticgeometry unsolved
Problem Statement
Let be a convex quadrilateral. Take an arbitrary point on the line , and let be the point of intersection of the circumcircles of triangles and (different from ). Prove that:
a) The point lies on a fixed circle;
b) The line passes though a fixed point.