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The area ( in sq. units) of the region {...

The area ( in sq. units) of the region `{(x,y):y^(2)ge2xandx^(2)+y^(2)le4x,xge0,yge0}` is

A

`pi-(8)/(3)`

B

`pi-(4sqrt(2))/(3)`

C

`(pi)/(2)-(2sqrt(2))/(3)`

D

`pi-(4)/(3)`

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