JEE Main 2016MathematicsVector AlgebraMediumMCQ

JEE Main 2016 — Vector Algebra Question with Solution

JEE Main 2016 (10 Apr Online)

Question

The number of distinct real values of λ, for which the lines x-11=y-22=z+3λ2 and x-31=y-2λ2=z-12 , are coplanar is

Choose an option

Show full solutionCorrect option: C
Correct answer
C3

Step-by-step explanation

∵ Lines are coplanar

∴ 3-12-21--312λ21λ22=0

⇒ 20412λ21λ22=0

⇒ 24-λ4+4λ2-2=0

⇒ 4-λ4+2λ2-4=0

⇒ λ2λ2-2=0

⇒ λ=0, 2, -2

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About this question

This is a previous-year question from JEE Main 2016, covering the Vector Algebra 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.