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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`

B

`64//3`

C

`7sqrt(2)`

D

None of these

Text Solution

Verified by Experts

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

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