JEE Math Practice Question

Let the shortest distance between the lines $$L: \frac{x-5}{-2}=\frac{y-\lambda}{0}=\frac{z+\lambda}{1}, \lambda \geq 0$$ 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?

1. A.$$\alpha+2 \gamma=24$$
2. B.$$2 \alpha+\gamma=7$$
3. C.$$\alpha-2 \gamma=19$$
4. D.$$2 \alpha-\gamma=9$$