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 values of k which the linear equations 4x+ky+2z=0 kx+4y+z=0 2x+2y+z=0 Possess a non-zero solution is

Values of k for which the system of equation x+ky+3z=0, kx+2y+2z=0 and 2x+3y+4z=0 possesses non-trivial solution

The value of lambda for which the system of equations 2x-y-2z=2,x-2y +z = -4, x+y+lamda z=4 has no solution is

The value of a for which system of equation , a^3x+(a+1)^3y+(a+2)^3z=0, ax+(a+1)y+(a+2)z=0, x+y+z=0, has a non-zero solution is:

The number of integral values of a for which the system of linear equations x sin theta -2 y cos theta -az=0 , x+2y+z=0,-x+y+z=0 may have non-trivial solutions, then

The given system of equations x-ky-z=0, kx-y-z=0, x+y-z=0 has non zero solution then the possible value of k is …..

The number of values of k for which the system of the equations (k+1)x+8y=4k and k x+(k+3)y=3k-1 has infinitely many solutions is a. 0 b. 1 c. 2 d. infinite

Find the nature of solution for the given system of equation: x+2y+3z=1;2x+3y+4z=3;3x+4y+5z=0

For what values of k the set of equations 2x- 3y + 6z - 5t = 3, y -4z + t=1 , 4x-5y+8z-9t = k has

If the system of linear equations x+a y+a z=0,\ x+b y+b z=0,\ x+c y+c z=0 has a non zero solution then System is always non trivial solutions System is consistent only when a=b=c If a!=b!=c then x=0,\ y=t ,\ z=-t\ AAt in R If a=b=c\ t h e n\ y=t_1, z=t_2,\ x=-a(t_1+t_2)AAt_1, t_2 in R