JEE Main 2022MathematicsDeterminantsEasyMCQ

JEE Main 2022 — Determinants Question with Solution

JEE Main 2022 (29 Jun Shift 1)

Question

If the system of linear equations
2x+y-z=7
x-3y+2z=1
x+4y+δz=k, where δ,k∈R
has infinitely many solutions, then δ+k is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B3

Step-by-step explanation

For infinitely many solutions, ∆=21-11-3214δ=0

⇒δ=-3

and ∆1=71-11-32K4-3=0⇒k=6

⇒δ+K=3

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About this question

This is a previous-year question from JEE Main 2022, 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.