If `p != a, q!=b,r!=c`and the system of equations `px + ay + az = 0 and bx + qy + bz= 0 and cx + cy + rz = 0` has a non-trivial solution, then the value of `p/(p-a)+q/(q-b)+r/(r-c)` is

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 pqrne0 and the system of equations (p + a) x + by + cz = 0 , ax + (q + b)y + cz = 0 ,ax + by + (r + c) z =0 has a non-trivial solution, then value of (a)/(p) + (b)/(q) + (c )/(r ) is a)-1 b)0 c)1 d)2

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+ay+az=0 , bx+y+bz=0 , cx +cy +z=0 where a,b,c are non - zero and non - unity has a non - trivial solution, then the value of (a)/(1-a)+b/(1-b)+c/(1-c) is :

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

If the system of equations x + ay + az = 0 bx + y + bz = 0 cx + cy + z = 0 where a, b and c are non-zero non-unity, has a non-trivial solution, then value of (a)/(1 -a) + (b)/(1- b) + (c)/(1 -c) is