If `a ne b`, then the system of equations `ax+by+bz=0, bx + ay + bz = 0, bx + by + ax = 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

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 equations ax+by+bz=0,bx+ay+bz=0,bx+by+az=0 will have a non-trivial solution if (1)a+b=0 (2) a+2b=0 (3) 2a+b=0(4)a+4b=0

The system of equations ax + 4y + z = 0,bx + 3y + z = 0, cx + 2y + z = 0 has non-trivial solution if a, b, c are in

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 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 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

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.

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.