JEE Main 2025 — Three Dimensional Geometry Question with Solution
JEE Main 2025 (24 Jan Shift 1)
Question
Let the line passing through the points and parallel to the line intersect the line at the point . Then the distance of from the point is
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Equation of line through point is
Let
So,
For intersection point ' P '
$\begin{aligned}
& \mathrm{x}=2 \lambda-1=3 \mu-2 \\
& \mathrm{y}=3 \lambda+2=2 \mu+3 \\
& \mathrm{z}=4 \lambda+1=\mu+4
\end{aligned}$
So, point
&
$\begin{aligned}
& \therefore P Q=\sqrt{9+100+16} \\
& =\sqrt{125}=5 \sqrt{5}
\end{aligned}$
Let
So,
For intersection point ' P '
$\begin{aligned}
& \mathrm{x}=2 \lambda-1=3 \mu-2 \\
& \mathrm{y}=3 \lambda+2=2 \mu+3 \\
& \mathrm{z}=4 \lambda+1=\mu+4
\end{aligned}$
So, point
&
$\begin{aligned}
& \therefore P Q=\sqrt{9+100+16} \\
& =\sqrt{125}=5 \sqrt{5}
\end{aligned}$Practice this on the real CBT interface
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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.