The tangent and the normal lines at the point $( \sqrt { 3 } , 1 )$ to the circle $x ^ { 2 } + y ^ { 2 } = 4$ and the $x$-axis form a triangle. The area of this triangle (in square units) is:\\
(1) $\frac { 1 } { 3 }$\\
(2) $\frac { 2 } { \sqrt { 3 } }$\\
(3) $\frac { 4 } { \sqrt { 3 } }$\\
(4) $\frac { 1 } { \sqrt { 3 } }$