JEE Main 2025 — Three Dimensional Geometry Question with Solution
JEE Main 2025 (29 Jan Shift 1)
Question
Let and be two lines.
Let be a line passing through the point and be perpendicular to both and . If intersects , then equals :
Choose an option
Show full solutionCorrect option: C
Correct answer
C25
Step-by-step explanation
Now
$\begin{aligned}
& \alpha-5 \lambda=\mathrm{k}+1 \Rightarrow \alpha=5 \lambda+\mathrm{k}+1 \\
& \beta-3 \lambda=-\mathrm{k}+2 \Rightarrow \beta=3 \lambda-\mathrm{k}+2 \\
& \gamma+\lambda=2 \mathrm{k}-1 \Rightarrow \gamma=-\lambda+2 \mathrm{k}+1 \\
& |5 \alpha-11 \beta-8 \gamma|=|-25| \\
& =25
\end{aligned}$
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This is a previous-year question from JEE Main 2025, 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.