" If the system "2ax-2y+3=0,x+ay+2z=0" and "2x+az=0" has a non-trivial solution then "

If 2ax-2y+3z=0,x+ay+2z=0, and 2+az=0 have a nontrivial solution,find the value of a.

If the system of equations x+y+z=0 ax+by+z=0 bx+y+z=0 has a non trivial solution then

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.

If the system of equation x+ky+3z=0,3x+ky-2z=0,2x+3y-4z=0 has non trivial solution, then (xy)/(z^2) =

The real value of k for which the system of equation 2k x-2y+3z=0, x+ky+2z=0, 2x+kz=0 has non-trivial solution is

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

The real value of k for which the sysmtem of equation 2k x-2y+3z=0, x+ky+2z=0, 2x+kz=0 has non-trivial solution is