JEE Main 2020MathematicsDeterminantsEasyMCQ

JEE Main 2020 — Determinants Question with Solution

JEE Main 2020 (02 Sep Shift 1)

Question

Let S be the set of all λ∈R for which the system of linear equations

2x-y+2z=2

x-2y+λz=-4

x+λy+z=4

has no solution. Then the set S

Choose an option

Show full solutionCorrect option: D
Correct answer
DContains exactly two elements

Step-by-step explanation

 For no solution Δ=0 and at least one of Δ1,Δ2,Δ3 is non-zero.
Δ=2-121-2λ1λ1=-λ-12λ+1
Δ1=2-12-4-2λ4λ1=-2λ2+6λ-4
Δ=0⇒  λ=1,-12

 And for  λ=1,-12,  ∆1≠0
Hence, S=1,-12

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About this question

This is a previous-year question from JEE Main 2020, 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.