International Maths Olympiad Exam Question Paper

Will you please provide the question paper of International Maths Olympiad Exam ?

[Kiran Chandar]

Here is the list of few questions of International Maths Olympiad Exam Question Paper which you are looking for .

1. The in-circle of triangle ABC touches the sides BC, CA and AB in K, L and M
respectively. The line through A and parallel to LK meets MK in P and the line
through A and parallel to MK meets LK in Q. Show that the line PQ bisects the
sides AB and AC of triangle ABC.

5. Let a, b, c be three real numbers such that 1 ≥ a ≥ b ≥ c ≥ 0. Prove that if _ is a
root of the cubic equation x3 + ax2 + bx + c = 0 (real or complex),then |_| ≤ 1.







For more questions , here is the attachment