If the system of equations `x + 4ay + az = 0 and x + 3by + bz = 0 and x + 2cy + cz = 0` have a nonzero solution, then `a, b, c ( != 0)` are in

If the system of linear equations x + 2ay + az = 0 x + 3by + bz = 0 x + 4cy + cz = 0 has a non-zero solution, then a, b, c

If the system of linear equation x + 4ay + ax = 0 , x + 3b + bz = 0 x + 2cy + cz = 0 have a non-trivial solution, then a, b, c are in

The system of equations ax + y + z = 0 , -x + ay + z = 0 and - x - y + az = 0 has a non-zero solution if the real value of 'a' is

If a !=b , then the system of equation ax + by + bz = 0 bx + ay + bz = 0 and bx + by + az = 0 will have a non-trivial solution, if

If the three linear equations x+4ay+az=0 , x+3by+bz=0 and x+2cy+cz=0 have a non-trivial solution,then, (a,b,c in R)

If the system of linear equations x+2ay+az=0,x+3by+bz=0 and x+4cy+cz=0 has a non-zero solution,then a,b,c

if a gt b gt c and the system of equations ax + by + cz = 0, bx + cy + az 0 and cx + ay + bz = 0 has a non-trivial solution, then the quadratic equation ax^(2) + bx + c =0 has

If the system of equations x + ay + az = 0 bx + y + bz = 0 cx + cy + z = 0 where a, b and c are non-zero non-unity, has a non-trivial solution, then value of (a)/(1 -a) + (b)/(1- b) + (c)/(1 -c) is