2021 OIM Problems/Problem 2
Problem
Consider an acute triangle , with
, and let
be its circumcircle. Let
and
be the midpoints of the sides
and
, respectively. The circumcircle of triangle
intersects
at
C
X \ne C
BX
\Gamma
A
Y
P
AB
YP = YA
P \ne A
Q
AB
BC
Y
F
PQ$.
Note: The circumcircle of a triangle is the circle passing through its three vertices.
Solution
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