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Mathematics
Problem
The area of the region, enclosed by the circle
x
2
+
y
2
=
2
x^2 + y^2 = 2
x
2
+
y
2
=
2
which is not common to the region bounded by the parabola
y
2
=
x
y^2 = x
y
2
=
x
and the straight line
y
=
x
y = x
y
=
x
, is : [JEE-MAIN ONLINE-2020] (1)
1
3
(
12
π
−
1
)
\frac{1}{3}(12\pi - 1)
3
1
(
12
π
−
1
)
(2)
1
6
(
12
π
−
1
)
\frac{1}{6}(12\pi - 1)
6
1
(
12
π
−
1
)
(3)
1
6
(
24
π
−
1
)
\frac{1}{6}(24\pi - 1)
6
1
(
24
π
−
1
)
(4)
1
3
(
6
π
−
1
)
\frac{1}{3}(6\pi - 1)
3
1
(
6
π
−
1
)
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