Let the system of linear equations \(4x+\lambda y+2z=0\) \(2x−y+z=0\) \(\mu x+2y+3z=0,\lambda ,\mu \in R\) has a non-tri…

Let the system of linear equations

\(4x+\lambda y+2z=0\)

\(2x−y+z=0\)

\(\mu x+2y+3z=0,\lambda ,\mu \in R\)

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

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