jee-main 2017 Q63

jee-main · India · 09apr Circles Circles Tangent to Each Other or to Axes
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) $4 ( \sqrt { 2 } + 1 )$