JEE Main 2019MathematicsDeterminantsEasyMCQ

JEE Main 2019 — Determinants Question with Solution

JEE Main 2019 (08 Apr Shift 1)

Question

The greatest value of c∈R for which the system of linear equations x-cy-cz=0, cx-y+cz=0, cx+cy-z=0 has a non-trivial solution, is

Choose an option

Show full solutionCorrect option: C
Correct answer
C12

Step-by-step explanation

∵ System of equation has non trivial solution. It is possible only when ∆=0.
∴∆ =1-c-cc-1ccc-1=0
⇒11-c2+c-c-c2-cc2+c=0
⇒2c3+3c2-1=0
⇒c=-1, 12 

Hence, the greatest value of c=12.

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About this question

This is a previous-year question from JEE Main 2019, 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.