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The area of the region bounded by y^(2)=...

The area of the region bounded by `y^(2)=x` and y = |x| is

A

`(1)/(3)` sq unit

B

`(1)/(6)` sq unit

C

`(2)/(3)` sq unit

D

1 sq unit

Text Solution

Verified by Experts

The correct Answer is:
B

`therefore` Required area `=int_(0)^(1)(sqrt(x)-x)dx" "[because|x|=-x,xlt0]`
`=((2)/(3)x^(3//2)-(x^(2))/(2))_(0)^(1)`
`=(2)/(3)-(1)/(2)=(4-3)/(6)=(1)/(6)` sq unit
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