IMO Shortlist 2002 problem G8
Kvaliteta:
Avg: 4,0Težina:
Avg: 9,0 Let two circles and meet at the points and . A line through meets again at and again at . Let , , be three points on the line segments , , respectively, with parallel to and parallel to . Let and be points on those arcs of and of respectively that do not contain . Given that is perpendicular to and is perpendicular to prove that .
Izvor: Međunarodna matematička olimpijada, shortlist 2002