Let `x + 2y + lambdaz = 0 , 3x – y + z = 0 , x + 4y - z = 0` If `x = 1` is its one of solution then `lambda` is equal to

The system of equations lambda x + y + 3z = 0, 2x + mu y - z = 0, 5x + 7y + z = 0 has infinitely many solutions in R. Then,

If the system of linear equations x + y + 3z = 0 x + 3y + k^2 z = 0 3x + y + 3z = 0 has a non -zero solution (x, y, -z) for some k in R then x + (y/z) is equal to :

The lines x + y + z - 3 = 0 = 2x - y + 5z - 6 and x - y - z + 1 = 0 = 2x + 3y + 7z - k are coplanar then k equals

The system of equation -2x + y + z = 1, x – 2y + z = –2, x + y + lambdaz = 4 will have no solution if

Let x + y + z = 6, 4x + lambday - lambdaz = 0,3x + 2y - 4z = -5. The value of lambda for which given system of equations does not have a unique solution is

If the system of equations lambdax + 3y + z = 0 , 4x+lambday+3z=0, 2x+3y+lambdaz=0 has non-trival solution, then lambda =

The system of equations 3x-2y+z=0,lambda x-14y+15z=0,x+2y-3z=0 has non- zero solution then lambda=

If the system of equations x+y+z=6, x+2y+lambdaz=10 and x+2y+3z=mu has infinite solutions, then the value of lambda+2mu is equal to

If the system of equations x+y+z=6, x+2y+lambdaz=10 and x+2y+3z=mu has infinite solutions, then the value of lambda+2mu is equal to