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Find the area of the closed figure bound...

Find the area of the closed figure bounded by the curves `y=sqrt(x),y=sqrt(4-3x)a n dy=0`

A

`4//9`

B

44052

C

16/9

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`C_(1):y=sqrt(x)`
`impliesy^(2)=x,ygt0`
`C_(2):y=sqrt(4-3x)`
`impliesy^(2)=3(x-4//3),ygt0`

Area`=int_(0)^(1)sqrt(x)dx+int_(1)^(4//3)sqrt(4-3x)dx=(8)/(9)`
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