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MathNet 1985 — Part 01 Question 11

Math Olympiad Vault · MathNet 1985 — Part 01

Question 11

Non-aligned rays are considered $O x, O y$. by the point $A \in O x$ Pairs of lines are drawn $r_{1}, r_{2}$, anti-parallel to the angle $x O y$; be $M, N$ the intersections of $r_{1}$ with $O y$ and of $r_{2}$ with $O x$, respectively. be $P$ The point of intersection of the angles of the angles $A M y, A N y$. Find the geometric place of $P$ when varying $A$.