JEE Main 2020MathematicsDeterminantsMediumNumerical

JEE Main 2020Determinants Question with Solution

JEE Main 2020 (06 Sep Shift 2)

Question

The sum of distinct values of λ for which the system of equations :

λ-1 x+3λ+1 y+2λz=0

λ-1 x+4λ-2 y+λ+3 z=0

2x+3λ+1 y+3 λ-1 z=0,

Has non-zero solutions, is ....... .

Enter your answer

Show full solutionCorrect answer: 3
Correct answer
3

Step-by-step explanation

λ-13λ+12λλ-14λ-2λ+323λ+13(λ-1)=0

R2R2-R1

R3R3-R1

λ-13λ+12λ0λ-3-λ+33-λ0λ-3=0

C1C1+C3

3λ-13λ+12λ3-λλ-33-λ00λ-3=0

λ-326λ=0 λ=0, 3

sum of values of λ=3

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Determinants chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

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.