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The area of the region {(x,y):x^(2)+y^(2...

The area of the region `{(x,y):x^(2)+y^(2) le 1 le x+y}` , is

A

`(pi^(2))/(4)`

B

`(pi^(2))/(2)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Area of shaded region = `(pi(1)^(2))/(4) - (1)/(2) (1) (1) = (pi)/(4) - (1)/(2)`.
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