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Rioplatense Mathematical Olympiad, Level 3
2002 Rioplatense Mathematical Olympiad, Level 3
5
problem 3
problem 3
Source:
February 26, 2016
geometry
circumcircle
Problem Statement
A
B
C
ABC
A
BC
is any triangle. Tangent at
C
C
C
to circumcircle (
O
O
O
) of
A
B
C
ABC
A
BC
meets
A
B
AB
A
B
at
M
M
M
. Line perpendicular to
O
M
OM
OM
at
M
M
M
intersects
B
C
BC
BC
at
P
P
P
and
A
C
AC
A
C
at
Q
Q
Q
. P.T.
M
P
=
M
Q
MP=MQ
MP
=
MQ
.
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