The equations `x + y-2z = 0, 2x-3y-z=0,x-5y +4z= k` have non-zero solutions if `k=`

The equations x+y+z =0,x + 2y-4z = 0,2x - y - z =0 have

The real value of ''a' for which the equations ax+y+z=0,-x+ay+z=0,-x-y+az=0 have non-zero solution is

x+ky-z=0 , 3x-ky-z=0 and x-3y+z=0 has non-zero solution for k=

x+ky-z=0 , 3x-ky-z=0 and x-3y+z=0 has non-zero solution for k=

The equation 2x+y-4z=0, x-2y+3z=0 , x-y+z=0 have

The number of value of k for which the linear equations 4x+k y+2z=0,k x+4y+z=0, 2x+2y+z=0 posses a non-zero solution is- a. 1 b. \ zero c. \ 3 d. 2

The number of vlaues 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