Let the shortest distance between the lines \( L:\; \dfrac{x-5}{-2}=\dfrac{y-\lambda}{0}=\dfrac{z+\lambda}{1},\; \lambda \ge 0 \) and \( L_{1}:\; x+1=y-1=4-z \) be \( 2\sqrt{6} \). If \( (\alpha,\beta,\gamma) \) lies on \( L \), then which of the following is NOT possible?
