The radius of a circle, having minimum a...

The radius of a circle, having minimum area, which touches the curve `y=4-x^(2)`and the lines y=|x|, is

A

`4(sqrt2+1)`

B

`2(sqrt2+1)`

C

`2(sqrt2-1)`

D

`4(sqrt2-1)`

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The correct Answer is:

D

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