Intersection set of circles
Source: Turkey NMO 2008 Problem 5
December 2, 2008
geometrysymmetrygeometry unsolved
Problem Statement
A circle and a line is given in a plane such that doesn't cut .Determine the intersection set of the circles has as diameter for all pairs of (lie on ) and satisfy such that PQ \cap RS\equal{}\left\{A\right\} and PS \cap QR\equal{}\left\{B\right\}