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Byju's Answer
Standard XI
Mathematics
Area between Two Curves
The area in s...
Question
The area (in sq. units) of the region
{
x
∈
R
:
x
≥
0
,
y
≥
0
,
y
≥
x
−
2
and
y
≤
√
x
}
,
is :
A
13
3
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B
8
3
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C
10
3
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D
5
3
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Solution
The correct option is
C
10
3
From the figure the area will be,
A
=
4
∫
0
√
x
d
x
−
a
r
.
(
△
A
B
C
)
⇒
A
=
2
3
[
x
3
/
2
]
4
0
−
1
2
×
2
×
2
⇒
A
=
10
3
sq. units.
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0
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