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The area bounded by the parabola y^2 = x...

The area bounded by the parabola `y^2 = x`, straight line `y = 4` and y-axis is

A

16/3 sq. unit

B

64/3 sq. unit

C

`7sqrt2` sq. unit

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Line `y=4` meets the parabola `y^(2)=x` art A
`therefore 16=x and A` is ()

`therefore` Required area
`=int _(y=0)^(4)x dy`
`=int _(y=0)^(4)y^(2)dy`
`=[y_(//3)^(3)]_(0)^(4)`
`=64/3` sq units
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