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Find the area of the region lying inside...

Find the area of the region lying inside `x^2+(y-1)^2=1` and outside `c^2x^2+y^2=c^2`, where `c=sqrt(2)-1`.

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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