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Putnam
1976 Putnam
1
Putnam 1976 A1
Putnam 1976 A1
Source:
April 18, 2022
college contests
Problem Statement
P
P
P
is an interior point of the angle whose sides are the rays
O
A
OA
O
A
and
O
B
.
OB.
OB
.
Locate
X
X
X
on
O
A
OA
O
A
and
Y
Y
Y
on
O
B
OB
OB
so that the line segment
X
Y
‾
\overline{XY}
X
Y
contains
P
P
P
and so that the product
(
P
X
)
(
P
Y
)
(PX)(PY)
(
PX
)
(
P
Y
)
is a minimum.
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