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

If the system of linear equation x + 2ay + az = 0, x + 3by + bz = 0, x + 4cy + cz = 0 has a non-trival solution then show that a, b, c are in H.P.

If abc ne 0 and the system of equations x + 7 ay + 2az = 0, x + 6 by + 2 bz = 0, x + 5cy + 2cz = 0 has a non-zerotrivial solution, then a,b,c 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 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 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 equations : x + 4ay+az =0, x + 3by+ bz = 0 , x + 2cy + cz =0 has a non a non - zero solution ,then a,b,c are in :

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 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