2013 Canadian MO Problems/Problem 5

Problem

Let $O$ denote the circumcentre of an acute-angled triangle $ABC$ . Let point $P$ on side $AB$ be such that $\angle BOP = \angle ABC$ , and let point $Q$ on side $AC$ be such that $\angle COQ = \angle ACB$ . Prove that the reflection of $BC$ in the line $PQ$ is tangent to the circumcircle of triangle $APQ$ .

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Page

Toolbox

Search

2013 Canadian MO Problems/Problem 5

Problem

Solution