jee-main 2018 Q78

jee-main · India · 08apr Matrices Linear System and Inverse Existence
If the system of linear equations $x + k y + 3 z = 0$ $3 x + k y - 2 z = 0$ $2 x + 4 y - 3 z = 0$ has a non-zero solution $( x , y , z )$, then $\frac { x z } { y ^ { 2 } }$ is equal to:
(1) 30
(2) - 10
(3) 10
(4) - 30
If the system of linear equations\\
$x + k y + 3 z = 0$\\
$3 x + k y - 2 z = 0$\\
$2 x + 4 y - 3 z = 0$\\
has a non-zero solution $( x , y , z )$, then $\frac { x z } { y ^ { 2 } }$ is equal to:\\
(1) 30\\
(2) - 10\\
(3) 10\\
(4) - 30