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IMO Longlists
1985 IMO Longlists
8
8
Part of
1985 IMO Longlists
Problems
(1)
IMO LongList 1985 BRA2 - Convex Set
Source:
9/10/2010
Let
K
K
K
be a convex set in the
x
y
xy
x
y
-plane, symmetric with respect to the origin and having area greater than
4
4
4
. Prove that there exists a point
(
m
,
n
)
≠
(
0
,
0
)
(m, n) \neq (0, 0)
(
m
,
n
)
=
(
0
,
0
)
in
K
K
K
such that
m
m
m
and
n
n
n
are integers.
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