If the square of the shortest distance between the lines (x-2)/1… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 23 January, Shift 2Skew Lines & Shortest Distance

If the square of the shortest distance between the lines $\frac{x-2}{1} = \frac{y-1}{2} = \frac{z+3}{-3}$ and $\frac{x+1}{2} = \frac{y+3}{4} = \frac{z+5}{-5}$ is $\frac{m}{n}$ , where $m$ and $n$ are co-prime numbers, then $m+n$ is equal to:

A
$6$
B
$9$
C
$21$
D
$14$

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