Let l₁ be the line in xy-plane with x and y intercepts 1/8 and 1/(4 2) respectively, and l₂ be the line in zx-plane with x and z intercepts - 1/8 and - 1/(6 3) respectively. If d is the shortest distance between the line l₁ and l₂, then d⁻² is equal to _ _ _ _ _ _ _ _.

Three Dimensional Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jun, Evening shift · Q23

JEE Main 202225 Jun, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let l₁ be the line in xy-plane with x and y intercepts

{1 \over 8}

and

{1 \over {4\sqrt 2 }}

respectively, and l₂ be the line in zx-plane with x and z intercepts

- {1 \over 8}

and

- {1 \over {6\sqrt 3 }}

respectively. If d is the shortest distance between the line l₁ and l₂, then d^

-

2 is equal to _______________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Three Dimensional Geometry Question with Answer (25 Jun Evening shift, Q23) | JEE Arc