JEE Main 2024 — Determinants Question with Solution
JEE Main 2024 (04 Apr Shift 1)
Question
If the system of equations
$\begin{aligned}
& x+(\sqrt{2} \sin \alpha) y+(\sqrt{2} \cos \alpha) z=0 \\
& x+(\cos \alpha) y+(\sin \alpha) z=0 \\
& x+(\sin \alpha) y-(\cos \alpha) z=0
\end{aligned}$
has a non-trivial solution, then is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
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This is a previous-year question from JEE Main 2024, 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.