JEE Main 2024 — Three Dimensional Geometry Question with Solution
JEE Main 2024 (08 Apr Shift 1)
Question
If the shortest distance between the lines
$\begin{array}{ll}
L_1: \vec{r}=(2+\lambda) \hat{i}+(1-3 \lambda) \hat{j}+(3+4 \lambda) \hat{k}, & \lambda \in \mathbb{R} \\
L_2: \vec{r}=2(1+\mu) \hat{i}+3(1+\mu) \hat{j}+(5+\mu) \hat{k}, \quad \mu \in \mathbb{R}
\end{array}$
is , where , then the value of equals
Choose an option
Show full solutionCorrect option: D
Correct answer
D387
Step-by-step explanation
Shortes distance (CD)
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This is a previous-year question from JEE Main 2024, covering the Three Dimensional Geometry chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.