Let S be the set of all values of λ, for which the shortest dista… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 15 April, Shift 1Skew Lines & Shortest Distance

Let $S$ be the set of all values of $\lambda$ , for which the shortest distance between the lines $\frac{x-\lambda}{0}=\frac{y-3}{4}=\frac{z+6}{1}$ and $\frac{x+\lambda}{3}=\frac{y}{-4}=\frac{z-6}{0}$ is $13$ . Then $8\left|\sum_{\lambda\in S}\lambda\right|$ is equal to

A
$302$
B
$304$
C
$306$
D
$308$

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