# Blog Archives

## 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

Advertisements

## IMO 2007 Short list problem

Find all functions such that

for all x,y

**Solution :**

For any positive real numbers , we have that

and by Cauchy in positive reals, then for all

Now it’s easy to see that , then for all positive real numbers