H be a point symmetric to B under PT
Source: Vietnam TST 2001 for the 42th IMO, problem 2
June 26, 2005
geometrycircumcircletrigonometrygeometric transformationreflectionpower of a pointradical axis
Problem Statement
In the plane let two circles be given which intersect at two points ; Let be one of the two common tangent line of these circles ( are points of tangency). Tangents at and of the circumcircle of triangle meet each other at . Let be a point symmetric to under . Show that are collinear.