Consider the lines L₁ and L₂ given by L₁: (x-1)/2 = (y-3)/1 = (z-… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 25 January, Shift 1Equation of Line in 3D

Consider the lines $L_1$ and $L_2$ given by

L_1: \frac{x-1}{2} = \frac{y-3}{1} = \frac{z-2}{2}, \quad L_2: \frac{x-2}{1} = \frac{y-2}{2} = \frac{z-3}{3}.

A line $L_3$ having direction ratios $1, -1, -2$ intersects $L_1$ and $L_2$ at the points $P$ and $Q$ respectively. Then the length of line segment $PQ$ is:

A
$2\sqrt{6}$
B
$3\sqrt{2}$
C
$4\sqrt{3}$
D
$4$

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