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Mathematics
Problem
The area (in sq. units) of the region
{
(
x
,
y
)
:
y
2
≥
2
x
and
x
2
+
y
2
≤
4
x
,
x
≥
0
,
y
≥
0
}
\{(x, y) : y^2 \ge 2x \text{ and } x^2 + y^2 \le 4x, x \ge 0, y \ge 0\}
{(
x
,
y
)
:
y
2
≥
2
x
and
x
2
+
y
2
≤
4
x
,
x
≥
0
,
y
≥
0
}
is : [JEE (Main)-2016] (1)
π
−
4
3
\pi - \frac{4}{3}
π
−
3
4
(2)
π
−
8
3
\pi - \frac{8}{3}
π
−
3
8
(3)
π
−
4
2
3
\pi - \frac{4\sqrt{2}}{3}
π
−
3
4
2
(4)
π
2
−
2
2
3
\frac{\pi}{2} - \frac{2\sqrt{2}}{3}
2
π
−
3
2
2
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