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Question

The area enclosed by the curves described by the equation x4+1=2x2+y2, is

A
3 sq. unit
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B
83 sq. unit
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C
73 sq. unit
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D
103 sq. unit
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Solution

The correct option is B 83 sq. unit
x4+1=2x2+y2
y2=(x21)2
y=x21 or y=1x2


Required area =410(1x2) dx
=4[xx33]10=83 sq. unit

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