JEE Main 2018MathematicsDeterminantsMediumMCQ

JEE Main 2018 — Determinants Question with Solution

JEE Main 2018 (15 Apr)

Question

Let S be the set of all real values of k for which the system of linear equations
x+y+z=2
2x+y-z=3
3x+2y+kz=4
has a unique solution. Then, S is :

Choose an option

Show full solutionCorrect option: A
Correct answer
Aequal to R –{0}

Step-by-step explanation

For unique solution, ∆≠0

⇒11121-132k≠0

⇒1k+2-12k+3+14-3≠0

 ⇒-k≠0⇒k≠0

Thus, S=R-0

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About this question

This is a previous-year question from JEE Main 2018, 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.