jee-main 2012 Q86

jee-main · India · offline 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) zero
(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) zero\\
(4) 3