Let $S$ be the set of all real values of $\lambda$ such that a plane passing through the points $\left( - \lambda ^ { 2 } , 1,1 \right) , \left( 1 , - \lambda ^ { 2 } , 1 \right)$ and $\left( 1,1 , - \lambda ^ { 2 } \right)$ also passes through the point $( - 1 , - 1,1 )$. Then $S$ is equal to :\\
(1) $\{ \sqrt { 3 } \}$\\
(2) $\{ 3 , - 3 \}$\\
(3) $\{ 1 , - 1 \}$\\
(4) $\{ \sqrt { 3 } , - \sqrt { 3 } \}$