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The area bounded between the parabolas x...

The area bounded between the parabolas `x^(2)=(y)/(4) and x^(2)=9y` and the straight line y=2 is

A

`20sqrt(2)`

B

`(10sqrt(2))/(3)`

C

`(20sqrt(2))/(3)`

D

`10sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C

Intergrating along y-axis,
`"Area "=2overset(2)underset(0)int(3sqrt(y)-(sqrt(y))/(2))dy=2[(5)/(2)(ysqrt(y))/(3//2)]_(0)^(2)`
`=2cdot(5)/(3)2sqrt(2)=(20sqrt(2))/(3)`
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