NIMCET 2020 Question Paper with solutions

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Question : 46 of 120

Marks: +1, -0

The area enclosed between the curves

y^2=x \and y=|x|

is

2/3 sq. unit
1 sq. unit
1/6 sq. unit
1/3 sq. unit

Solution:

By option

y^2=x\;\;\;y=|x|

∴ Area

=∫↖{1}↙{0}√x-x=2/3(x)^{3/2}=1/2=2/3-1/2=1/6

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