JEE Main 2025 — Three Dimensional Geometry Question with Solution
JEE Main 2025 (29 Jan Shift 1)
Question
Let and Let and be two lines. If the line passes through the point of intersection of and , and is parallel to , then passes through the point :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
For point of intersection equating respective components
$\begin{aligned}
& \Rightarrow \lambda-1=2 \mu \\
& 2(\lambda+1)=1+7 \mu \\
& \lambda+1=1+3 \mu
\end{aligned}$
We get
$\begin{aligned}
& \Rightarrow \lambda=3 \text { and } \mu=1 \\
& \Rightarrow \vec{a}+\vec{b}=3 \hat{i}+9 \hat{j}+4 \hat{k}
\end{aligned}$
For
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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.