The shortest distance between the lines (x - 4)/1 = (y + 1)/2 = z… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 27 January, Shift 1Skew Lines & Shortest Distance

The shortest distance between the lines $\frac{x - 4}{1} = \frac{y + 1}{2} = \frac{z}{-3}$ and $\frac{x - \lambda}{2} = \frac{y + 1}{4} = \frac{z - 2}{-5}$ is $\frac{6}{\sqrt{5}}$ . The sum of all possible values of $\lambda$ is:

A
$5$
B
$8$
C
$7$
D
$10$

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