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What is Balkan Math Olympiad 1997 Problems about?

This document contains 4 math problems from the 1997 Balkan Mathematical Olympiad held in Kalabaka, Greece. Problem 1 asks to prove that if a point inside a convex quadrilateral satisfies a certain distance property, then the quadrilateral must be a square and the point is the center. Problem 2 concerns proving a set theory statement about subsets of a set. Problem 3 asks to show that 3 lines related to a configuration of circles are concurrent. Problem 4 asks to find all functions satisfying a given functi

Author

Okla

Language

EN