If the system of equations 2x + 5y + 8z = 0, x + 4y + 7z = 0, 6x + 9y – λz = 0 has a non-trivial solution, then λ is equal to

12 -12 0 None of these

-12

Here $\begin{vmatrix}2&5&8\\1&4&7\\6&9&λ\end{vmatrix}=0$ ⇒ λ = -12. Hence (B) is the correct answer.