Mathematics · 2021
JEE Main · 18 March 2021, Shift 2 · Q75
Let the system of linear equations 4 x+λ y+2 z=0; 2 x-y+z=0; μ x+2 y+3 z=0, λ, μ ∈ R. has a non-trivial solution. Then which of the following is true?
Let the system of linear equations
$$\begin{aligned}
& 4 x+\lambda y+2 z=0 \\
& 2 x-y+z=0 \\
& \mu x+2 y+3 z=0, \lambda, \mu \in \mathbf{R} .
\end{aligned}
$$
has a non-trivial solution. Then which of the following is true ?
Official answer
(4)
$\displaystyle \mu=6, \quad \lambda \in \mathbf{R}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.