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

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 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=............

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

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 the system of equations ax+y+z=0, x+by+z=0, x+y+cz=0 has a nontrivial solution. Where a!=1,b!=1,c!=1 , then a+b+c-abc=

Prove that the system of equations in xa +y+z=0 , x +by +z=0 , x +y+cz=0 has a non - trivial solution then 1/(1-a) + 1/(1-b)+ 1/(1-c)=

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 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

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

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