Difference between revisions of "2000 IMO Problems"
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Revision as of 12:35, 19 April 2024
Problem 1
Two circles and intersect at two points and . Let be the line tangent to these circles at and , respectively, so that lies closer to than . Let be the line parallel to and passing through the point , with on and on . Lines and meet at ; lines and meet at ; lines and meet at . Show that . Solution