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1977 Canadian MO Problems/Problem 2

Let $\displaystyle O$ be the center of a circle and $\displaystyle A$ be a fixed interior point of the circle different from $\displaystyle O.$ Determine all points $\displaystyle P$ on the circumference of the circle such that the angle $\displaystyle OPA$ is a maximum.

CanadianMO-1977-2.jpg

Solution

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