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What is INMO 2010 Problem Set about?

This document contains 6 math problems: 1) Prove that PQ is parallel to BC, where P and Q are points of intersection of lines related to a triangle ABC and its circumcircle. 2) Find all natural numbers n such that n^2 does not divide (n-2)!. 3) Find real numbers x, y, z satisfying a system of equations involving cubes and squares of x, y, z. 4) Determine the number of 6-tuples where elements are from {1,2,3,4} and satisfy an expression involving squares and products. 5) Show that a point Q lies on a line

Author

drssagrawal

Language

EN