JEE Main 2026 — Three Dimensional Geometry Question with Solution
JEE Main 2026 (24 January Shift 2)
Question
The sum of all values of , for which the shortest distance between the lines and is , is
Choose an option
Show full solutionCorrect option: D
Correct answer
D-6
Step-by-step explanation
The given lines are and .
For , point and direction .
For , point and direction .
The shortest distance is given by .
.
.
.
.
Given , so .
Squaring both sides: .
.
The values of are the roots of this quadratic equation.
Sum of values of .
For , point and direction .
For , point and direction .
The shortest distance is given by .
.
.
.
.
Given , so .
Squaring both sides: .
.
The values of are the roots of this quadratic equation.
Sum of values of .
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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.