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Soros Olympiad in Mathematics
V Soros Olympiad 1998 - 99 (Russia)
9.6
|x- y| + |1 -x| + |у| = 1 (V Soros Olympiad 1998-99 Round 3 9.6)
|x- y| + |1 -x| + |у| = 1 (V Soros Olympiad 1998-99 Round 3 9.6)
Source:
May 25, 2024
analytic geometry
geometry
Problem Statement
On the coordinate plane, draw all points
M
(
x
,
y
)
M(x, y)
M
(
x
,
y
)
, whose coordinates satisfy the equation:
∣
x
−
y
∣
+
∣
1
−
x
∣
+
∣
y
∣
=
1
|x-y| + |1-x| + |y|=1
∣
x
−
y
∣
+
∣1
−
x
∣
+
∣
y
∣
=
1
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