Two lines and two circles with centers on the lines
Source: Romanian IMO Team Selection Test TST 1988, problem 7
October 1, 2005
geometry proposedgeometry
Problem Statement
In the plane there are given the lines , , the circle with its center on the line and a second circle which is tangent to , and . Find the locus of the tangent point between and while the center of is variable on .
Mircea Becheanu