Consider the lines L₁ and L₂ given by L₁:(x - 1)/2 = (y - 3)/1 = (z - 2)/2 L₂:(x - 2)/1 = (y - 2)/2 = (z - 3)/3. A line L₃ having direction ratios 1, - 1, - 2, intersects L₁ and L₂ at the points P and Q respectively. Then the length of line segment PQ is

Three Dimensional Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 25 Jan, Morning shift · Q2514

JEE Main 202325 Jan, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Consider the lines

L_1

and

L_2

given by

{L_1}:{{x - 1} \over 2} = {{y - 3} \over 1} = {{z - 2} \over 2}

{L_2}:{{x - 2} \over 1} = {{y - 2} \over 2} = {{z - 3} \over 3}

. A line

L_3

having direction ratios 1,

-

-

2, intersects

L_1

and

L_2

at the points

P

and

Q

respectively. Then the length of line segment

PQ