If system of equations
`2x+2ay+az=0`
2x+3by+bz=0
2x+4cy+cz=0 have non-trivial solution then

If a gt b gt c and the system of equtions ax +by +cz =0 , bx +cy+az=0 , cx+ay+bz=0 has a non-trivial solution then both the roots of the quadratic equation at^(2)+bt+c are

If a gt b gt c and the system of equtions ax +by +cz =0 , bx +cy+az=0 , cx+ay+bz=0 has a non-trivial solution then both the roots of the quadratic equation at^(2)+bt+c are

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 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 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 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

Find a in R for which the system of equations 2ax-2y+3z=0 , x+ay + 2z=0 and 2x+az=0 also have a non-trivial solution.