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 …

Let the system of linear equations
\(
\begin{aligned}
& 4 x+\lambda y+2 z=0 \\
& 2 x-y+z=0 \\
& \mu x+2 y+3 z=0, \lambda, \mu \in R
\end{aligned}
\)

has a non-trivial solution. Then which of the following is true?

[JEE Main 2021, 18 Mar (Shift 2)]