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Byju's Answer
Standard XII
Mathematics
Area between Two Curves
The area boun...
Question
The area bounded by the curves
y
=
(
x
−
1
)
2
,
y
=
(
x
+
1
)
2
and
y
=
1
4
A
1
3
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B
1
4
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C
1
5
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D
2
3
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Solution
The correct option is
A
1
3
Point of intersection of
y
=
(
x
−
1
)
2
and
y
=
1
4
is
(
1
2
,
1
4
)
and
(
3
2
,
1
4
)
The required area
=
2
1
/
2
∫
0
(
(
x
−
1
)
2
−
1
4
)
d
x
=
2
[
(
x
−
1
)
3
3
−
1
4
x
]
1
/
2
0
=
2
[
−
1
24
−
1
8
+
1
3
]
=
1
3
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2
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