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Q)

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


( A ) $4(\sqrt{2}+1)$
( B ) $2(\sqrt{2}-1)$
( C ) $4(\sqrt{2}-1)$
( D ) $2(\sqrt{2}+1)$

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