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Mathematics
Mathematics
Problem
The area bounded by the curves
y
=
−
−
x
y = -\sqrt{-x}
y
=
−
−
x
and
x
=
−
−
y
x = -\sqrt{-y}
x
=
−
−
y
where
x
,
y
≤
0
x, y \le 0
x
,
y
≤
0
(A) cannot be determined (B) is
1
3
\frac{1}{3}
3
1
(C) is
2
3
\frac{2}{3}
3
2
(D) is same as that of the figure bounded by the curves
y
=
−
x
y = \sqrt{-x}
y
=
−
x
;
x
≤
0
x \le 0
x
≤
0
and
x
=
−
y
x = \sqrt{-y}
x
=
−
y
;
y
≤
0
y \le 0
y
≤
0
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