The area (in sq. units) enclosed between...

The area (in sq. units) enclosed between the curve `x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)), AA t in R` and the line `y=x+1` above the line is

A

`(pi)/(4)`

B

`(1)/(2)`

C

`(3pi)/(4)+(1)/(2)`

D

`(pi)/(4)-(1)/(2)`

Verified by Experts

The correct Answer is:

D

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