jee-main 2011 Q75

jee-main · India Matrices Linear System and Inverse Existence
The number of values of $k$ for which the linear equations $4x+ky+2z=0$;\ $kx+4y+z=0$;\ $2x+2y+z=0$ possess a non-zero solution is
(1) 2
(2) 1
(3) 0
(4) 3
The number of values of $k$ for which the linear equations\\
$4x+ky+2z=0$;\ $kx+4y+z=0$;\ $2x+2y+z=0$\\
possess a non-zero solution is\\
(1) 2\\
(2) 1\\
(3) 0\\
(4) 3