The radius of a circle, having minimum area, which touches the curve $y = 4 - x^2$ and the lines $y = |x|$ is: (1) $2(\sqrt{2} + 1)$ (2) $2(\sqrt{2} - 1)$ (3) $4(\sqrt{2} - 1)$ (4) $4(\sqrt{2} + 1)$
The radius of a circle, having minimum area, which touches the curve $y = 4 - x^2$ and the lines $y = |x|$ is:\\
(1) $2(\sqrt{2} + 1)$\\
(2) $2(\sqrt{2} - 1)$\\
(3) $4(\sqrt{2} - 1)$\\
(4) $4(\sqrt{2} + 1)$