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

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

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 region ` = (pi (1)^(2))/(4) -(1)/(2) (1) (1) = (pi)/(4)-(1)/(2)` .
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