JEE Main 2020MathematicsDeterminantsMediumMCQ

JEE Main 2020 — Determinants Question with Solution

JEE Main 2020 (08 Jan Shift 2)

Question

The system of linear equations
λx+2y+2z=5
2λx+3y+5z=8
4x+λy+6z=10 has

Choose an option

Show full solutionCorrect option: C
Correct answer
Cno solution when λ=2

Step-by-step explanation

∆=λ222λ354λ6=λ18-5λ-212λ-20+22λ2-12=-λ2-6λ+16=λ+82-λ
∆=0 for λ=2,
∆1=5228351026

∆1=518-10-248-50+216-30

∆1=40+4-28≠0
No solution for λ=2.

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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.