JEE Main 2020MathematicsDeterminantsEasyMCQ

JEE Main 2020Determinants Question with Solution

JEE Main 2020 (04 Sep Shift 2)

Question

If the system of equations

x+y+z=2
2 x+4 y-z=6
3x+2y+λz=μ

has infinitely many solutions, then :

Choose an option

Show full solutionCorrect option: D
Correct answer
D2λ+μ=14

Step-by-step explanation

For infinitely many solutions, all determinants should be zero.

D=11124-132λ=0λ=92

D3=11224632μ=0μ=5

Now check each option 

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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.