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Ukraine Correspondence MO - geometry
2003.5
2003.5
Part of
Ukraine Correspondence MO - geometry
Problems
(1)
max angle <OPA (2003 VIII All-Ukrainian Correspondence MO 5-11 p5)
Source:
1/10/2023
Let
O
O
O
be the center of the circle
ω
\omega
ω
, and let
A
A
A
be a point inside this circle, different from
O
O
O
. Find all points
P
P
P
on the circle
ω
\omega
ω
for which the angle
∠
O
P
A
\angle OPA
∠
OP
A
acquires the greatest value.
geometry
geometric inequality
angles