JEE Main 2024MathematicsThree Dimensional GeometryEasyMCQ

JEE Main 2024 — Three Dimensional Geometry Question with Solution

JEE Main 2024 (01 Feb Shift 1)

Question

If the shortest distance between the lines x−λ−2=y−21=z−11 and x−31=y−1−2=z−21 is 1, then the sum of all possible values of λ is

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Show full solutionCorrect option: B
Correct answer
B23

Step-by-step explanation

Given: Equations of line,

x-λ-2=y-21=z-11 and x-31=y-1-2=z-21

Now, we know that shortest distance between two lines is given by,

S.D=a→2-a→1·b1→×b2→b1→×b2→

⇒1=λ-31-1-2111-21i^j^k^-2111-21

⇒1=λ-33+3-33i^+3j^+3k^

⇒λ-3=3

⇒λ=0, 23

Hence, the sum is 23

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About this question

This is a previous-year question from JEE Main 2024, 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.