Let L₁: (x-1)/2 = (y-2)/3 = (z-3)/4 and L₂: (x-2)/3 = (y-4)/4 = (… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 22 January, Shift 1Skew Lines & Shortest Distance

Let $L_1: \frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4}$ and $L_2: \frac{x-2}{3} = \frac{y-4}{4} = \frac{z-5}{5}$ be two lines. Then which of the following points lies on the line of the shortest distance between $L_1$ and $L_2$ ?

A
$\left( \frac{-5}{3}, -7, 1 \right)$
B
$(2, 3, \frac{1}{3})$
C
$\left( \frac{8}{3}, -1, \frac{1}{3} \right)$
D
$\left( \frac{14}{3}, -3, \frac{22}{3} \right)$

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