JEE Main 2025 — Three Dimensional Geometry Question with Solution
JEE Main 2025 (22 Jan Shift 2)
Question
Let a line pass through two distinct points and , and be parallel to the vector . If the distance of the point Q from the point is 5 , then the square of the area of is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B136
Step-by-step explanation
Equation of line is:
Let coordinate of
Then
$\begin{aligned}
& (3 r-2-1)^2+(2 r-1-3)^2+(2 r+3-3)^2=25 \\
& \therefore r=0 \text { or } 2 \\
& \therefore \quad \text { Coordinate of } Q=(4,3,7)
\end{aligned}$
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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.