Let the shortest distance between the lines L:x-5-2=y-λ0=z+λ1,λ≥0 and L1: x+1=y-1=4-z be 26. If (α,β,γ) lies on L, then which of the following is NOT possible?

Question

Let the shortest distance between the lines

L : \frac{x - 5}{- 2} = \frac{y - λ}{0} = \frac{z + λ}{1}, λ \geq 0

and

L_{1} : x + 1 = y - 1 = 4 - z

2 \sqrt{6}

. If

(α, β, γ)

lies on

L

, then which of the following is NOT possible?

α + 2 γ = 24

2 α + γ = 7

2 α - γ = 9

α - 2 γ = 19

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