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Mathematics
Problem
The area of the region described by
A
=
{
(
x
,
y
)
:
x
2
+
y
2
≤
1
and
y
2
≤
1
−
x
}
A = \{(x, y) : x^2 + y^2 \le 1 \text{ and } y^2 \le 1 - x\}
A
=
{(
x
,
y
)
:
x
2
+
y
2
≤
1
and
y
2
≤
1
−
x
}
is: [JEE (Main)-2014] (1)
π
2
−
2
3
\frac{\pi}{2} - \frac{2}{3}
2
π
−
3
2
(2)
π
2
+
2
3
\frac{\pi}{2} + \frac{2}{3}
2
π
+
3
2
(3)
π
2
+
4
3
\frac{\pi}{2} + \frac{4}{3}
2
π
+
3
4
(4)
π
2
−
4
3
\frac{\pi}{2} - \frac{4}{3}
2
π
−
3
4
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