The radius of a circle, having minimum area,

Question:

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

  1. $4(\sqrt{2}+1)$

  2. $2(\sqrt{2}+1)$

  3. $2(\sqrt{2}-1)$

  4. None of these


Correct Option:

Solution:

which is not in options therefore it must be bonus. But according to history of JEE-Mains it seems they had following line of thinking.

Given curves are $y=4-x^{2}$ and $y=|x|$

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