The value of k for which the planes `kx+4y+z=0, 4x+ky+2z=0 nd 2x+2y+z=0` intersect in a straighat line is

The value of k for which the set of equations 3x+ky-2z=0, x + ky + 3z = 0 and 2x+3y-4z=0 has non-trivial solution is (A) 15 (B) 16 (C) 31/2 (D) 33/2

The values of k for which the system of equations kx+y+z=0,x-ky+z=0 and x+y+z=0 possesses non-trivial solution. Are

The planes ax+4y+z=0,2y+3z-1=0 and 3x-bz+2=0 will

The real value of k for which the system of equation 2k x-2y+3z=0, x+ky+2z=0, 2x+kz=0 has non-trivial solution is

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

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is a. 2 b. 5//2 c. 3 d. 5//4

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is 2 b. 5//2 c. 3 d. 5//4

The planes 2x + 5y + 3z = 0, x-y+4z = 2 and7y-5z + 4 = 0

The distance between the planes 2x+2y-z+2=0 and 4x+4y-2z+5=0 is

If L_1 is the line of intersection of the planes 2x-2y+3z-2=0 x-y+z+1=0 and L_2 is the line of the intersection of the planes x+2y-z-3=0 3x-y+2z-1=0 then the distance of the origin from the plane containing the lines L_1 and L_2 is