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Byju's Answer
Standard XII
Mathematics
Area between Two Curves
The area encl...
Question
The area enclosed by the curves described by the equation
x
4
+
1
=
2
x
2
+
y
2
,
is
A
3
sq. unit
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B
8
3
sq. unit
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C
7
3
sq. unit
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D
10
3
sq. unit
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Solution
The correct option is
B
8
3
sq. unit
x
4
+
1
=
2
x
2
+
y
2
⇒
y
2
=
(
x
2
−
1
)
2
⇒
y
=
x
2
−
1
or
y
=
1
−
x
2
Required area
=
4
1
∫
0
(
1
−
x
2
)
d
x
=
4
[
x
−
x
3
3
]
1
0
=
8
3
sq. unit
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