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1964 IMO Problems/Problem 5

Revision as of 18:35, 15 July 2009 by Xpmath (talk | contribs) (Created page with '== 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 perpendicu…')
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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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