If `a!=b!=c!=1` and the system of equations ax+y+z=0,x+by+z=0 ,x+y+cz=0 have non trivial solutions then a+b+c-abc

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

If a!=b!=c!=1 and the system ax+y+z=0 If x+by+z=0x+y+cz=0 have non trivia solutions then a+b+c-abc=............

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

The system of equations: x+ky+3z=0 , 3x+ky-2z=0 , 2x+3y-4z=0 has non- trivial solution. when k=

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) =

If system of equation 4x-lambday+2z=0 , 2x+2y+z=0 , mux+2y+3z=0 has non trivial solution than

If pqr!=0 and the system of equation (p+a)x+by+cz=0ax+(q+b)y+cz=0ax+by+(r+c)z=0 has nontrivial solution,then value of (a)/(p)+(b)/(q)+(c)/(r) is -1 b.0 c.0d.neg-2

The system of equations 6x+5y+ lamda z= 0, 3z-y+4z= 0, x+2y-3z=0 has non-trivial solutions for

if the system of equations x+y+z=0 , x+3y+k^2z=0 and x+2y+z=0 have a non zero solution then value of y+(x/z) is