JEE Main 2026 — Three Dimensional Geometry Question with Solution
JEE Main 2026 (28 January Shift 2)
Question
If the distance of the point , from the line along a line with direction ratios is , then is equal to
Enter your answer
Show full solutionCorrect answer: 170
Correct answer
170
Step-by-step explanation
Point P(43, α, β) has distance from line .
The line passes through A(4, 0, -1) with direction .
Using distance formula: .
With , the cross product gives .
Thus and .
Setting gives .
Solving with the constraint β < 0: α = 5, β = -13, hence .
The line passes through A(4, 0, -1) with direction .
Using distance formula: .
With , the cross product gives .
Thus and .
Setting gives .
Solving with the constraint β < 0: α = 5, β = -13, hence .
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Three Dimensional Geometry chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2026, 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.