Turkey NMO 2001 Problem 5, locus of point P_G
Source: Turkey NMO 2001 Problem 5
September 30, 2011
trigonometrygeometrycircumcircleperpendicular bisectorgeometric transformationgeometry proposed
Problem Statement
Two nonperpendicular lines throught the point and a point on one of these lines different from are given. Let be the intersection point of tangent lines at and to the circle through the point , and where is a point on the given line different from the line . What is the locus of as varies.