JEE Main 2022MathematicsDeterminantsEasyMCQ

JEE Main 2022 — Determinants Question with Solution

JEE Main 2022 (26 Jun Shift 1)

Question

The ordered pair a,b, for which the system of linear equations
3x-2y+z=b

5x-8y+9z=3

2x+y+az=-1
has no solution, is

Choose an option

Show full solutionCorrect option: C
Correct answer
C-3,-13

Step-by-step explanation

Given system of linear equations are
3x-2y+z=b

5x-8y+9z=3

2x+y+az=-1

For system to have no solution, 

∆=3-215-8921a=0

⇒3-8a-9+25a-18+121=0

⇒a=-3

Also, ∆2=3-2b5-8321-1=35+2-11+b21=21b-7

If b=13, ∆2=0

So b must be equal to -13

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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.