Let $C$ be the circle of minimum area touching the parabola $y = 6 - x ^ { 2 }$ and the lines $y = \sqrt { 3 } | x |$. Then, which one of the following points lies on the circle $C$ ? (1) $( 1,2 )$ (2) $( 1,1 )$ (3) $( 2,2 )$ (4) $( 2,4 )$
Let $C$ be the circle of minimum area touching the parabola $y = 6 - x ^ { 2 }$ and the lines $y = \sqrt { 3 } | x |$. Then, which one of the following points lies on the circle $C$ ?\\
(1) $( 1,2 )$\\
(2) $( 1,1 )$\\
(3) $( 2,2 )$\\
(4) $( 2,4 )$