The shortest distance, between lines L₁ and L₂, where L₁: (x-1)/2=(y+1)/(-3)=(z+4)/2 and L₂ is the line, passing through the points A(-4,4,3), B(-1,6,3) and perpendicular to the line (x-3)/(-2)=y/3=(z-1)/1, is

Three Dimensional Geometry: JEE Main 2024 Mathematics question

JEE Main 2024 · 31 Jan, Evening shift · Q2528

JEE Main 202431 Jan, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

The shortest distance, between lines

L_1

and

L_2

, where

L_1: \frac{x-1}{2}=\frac{y+1}{-3}=\frac{z+4}{2}

and

L_2

is the line, passing through the points

\mathrm{A}(-4,4,3), \mathrm{B}(-1,6,3)

and perpendicular to the line

\frac{x-3}{-2}=\frac{y}{3}=\frac{z-1}{1}

, is