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Question
Mathematics
The area of the region S= (x, y): y2 ≤ 8 x, y ≥ √2 x, x ≥ 1 is
Q. The area of the region
S
=
{
(
x
,
y
)
:
y
2
≤
8
x
,
y
≥
2
x
,
x
≥
1
}
is
81
118
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A
6
13
2
B
6
11
2
C
6
5
2
D
6
19
2
Solution:
y
2
=
8
x
...(1)
y
=
2
x
...(2)
y
2
=
2
x
2
⇒
8
x
=
2
x
2
⇒
x
=
0
&
4
=
1
∫
4
2
2
x
−
2
x
d
x
=
2
2
(
3/2
x
2
3
)
1
4
−
2
(
2
x
2
)
1
4
=
3
4
2
(
8
−
1
)
−
3
2
(
16
−
1
)
=
3
28
2
−
2
15
2
=
6
11
2