IMO 1983 – Problem 3

Let N and k be positive integers and  let S be a set of   n points in the plane such that

(i) no three points of S  are collinear, and
(ii)  for any point P of  S, there are at least k points of S equidistant from P

Prove that  k  <  \frac{1}{2}  +  \sqrt{2n}

Try the question …
Solution will be updated soon


About shivang1729

I am a young student who loves math . I like number theory and inequalities part the most , and preparing for Math Olympiads :)

Posted on Thursday,July 19, 2012, in Combinatorics, Problems and tagged , , , , , , , , , . Bookmark the permalink. 2 Comments.

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

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