JEE Math Practice Question

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?

1. A.$$\mu$$ = 6, $$\lambda$$$$\in$$R
2. B.$$\lambda$$ = 3, $$\mu$$$$\in$$R
3. C.$$\mu$$ = $$-$$6, $$\lambda$$$$\in$$R
4. D.$$\lambda$$ = 2, $$\mu$$$$\in$$R