# IMO 1983 – Problem 3

Let and be positive integers and let be a set of points in the plane such that

no three points of are collinear, and

for any point of , there are at least points of equidistant from

Prove that

Try the question …

Solution will be updated soon

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Posted on Thursday,July 19, 2012, in Combinatorics, Problems and tagged challenging problems, combinatorics, geometry, graph theory, IMO, IMO 1983, latexified, points, Problem, problems. Bookmark the permalink. 2 Comments.

This blog has inspired me to carry on writing on my own blog

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