JEE PYQ: Matrices And Determinants Question 66
Question 66 - 2019 (09 Apr Shift 2)
If the system of equations $2x + 3y - z = 0$, $x + ky - 2z = 0$ and $2x - y + z = 0$ has a non-trivial solution $(x, y, z)$, then $\dfrac{x}{y} + \dfrac{y}{z} + \dfrac{z}{x} + k$ is equal to:
(1) $\dfrac{3}{4}$
(2) $\dfrac{1}{2}$
(3) $-\dfrac{1}{2}$
(4) $-4$