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Soros Olympiad in Mathematics
V Soros Olympiad 1998 - 99 (Russia)
9.3
R(x - 1)^2+ y^2} +R{x^2 + (y -1)^2} = R2 (V Soros Olympiad 1998-99 Round 1 9.3)
R(x - 1)^2+ y^2} +R{x^2 + (y -1)^2} = R2 (V Soros Olympiad 1998-99 Round 1 9.3)
Source:
May 25, 2024
algebra
analytic geometry
Problem Statement
On the coordinate plane, draw a set of points
M
(
x
;
y
)
M(x;y)
M
(
x
;
y
)
, whose coordinates satisfy the equation
(
x
−
1
)
2
+
y
2
+
x
2
+
(
y
−
1
)
2
=
2
.
\sqrt{(x - 1)^2+ y^2} +\sqrt{x^2 + (y -1)^2} = \sqrt2.
(
x
−
1
)
2
+
y
2
+
x
2
+
(
y
−
1
)
2
=
2
.
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