JEE Main 2016MathematicsDeterminantsEasyMCQ

JEE Main 2016Determinants Question with Solution

JEE Main 2016 (03 Apr)

Question

The system of linear equations

x+λy-z=0

λx-y-z=0

x+y-λz=0

has a non -trivial solution for 

Choose an option

Show full solutionCorrect option: B
Correct answer
BExactly three values of λ

Step-by-step explanation

For non - trivial solution.

Δ=1λ-1λ-1-111-λ=0

1λ+1-λ-λ2+1-1λ+1=0

λ+1-λ1-λ 1+λ-λ+1=0

λ1-λ 1+λ=0 

λ=0, λ=1, λ= -1

Exactly there value of λ.

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About this question

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