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 $y=|x|$