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The shortest distance between the lines $\frac{x - a + d}{α - δ} = \frac{y - a}{α} = \frac{z - a - d}{α + δ}, \frac{x - b + c}{β - γ} = \frac{y - b}{β} = \frac{z - b - c}{β + γ}$ is

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a+b+c+d

α+β+γ

aα+bβ+cγ

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detailed solution

Correct option is D

=a−d−b−ca−ba+d−b−cα−δαα+δβ−γββ+γC1→C1−C2,C3→C3−C2c−da−bd−c−δαδ−γβγ=0(∵C1 and C3 are identical)

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The shortest distance between the lines x−a+dα−δ=y−aα=z−a−dα+δ,x−b+cβ−γ=y−bβ=z−b−cβ+γ is

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The shortest distance between the lines $\frac{x - a + d}{α - δ} = \frac{y - a}{α} = \frac{z - a - d}{α + δ}, \frac{x - b + c}{β - γ} = \frac{y - b}{β} = \frac{z - b - c}{β + γ}$ is