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1
Build the set of points - [UKRMO 2009 Grade 9]
Build the set of points - [UKRMO 2009 Grade 9]
Source:
January 23, 2011
analytic geometry
algebra proposed
algebra
Problem Statement
Build the set of points
(
x
,
y
)
( x, y )
(
x
,
y
)
on coordinate plane, that satisfies equality:
1
−
x
2
+
1
−
y
2
=
2
−
x
2
−
y
2
.
\sqrt{1-x^2}+\sqrt{1-y^2}=2-x^2-y^2.
1
−
x
2
+
1
−
y
2
=
2
−
x
2
−
y
2
.
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