Difference between revisions of "1964 IMO Problems/Problem 5"

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Revision as of 11:39, 16 July 2009

Problem

Suppose five points in a plane are situated so that no two of the straight lines joining them are parallel, perpendicular, or coincident. From each point perpendiculars are drawn to all the lines joining the other four points. Determine the maximum number of intersections that these perpendiculars can have.

Solution

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