If the equations `(b + c)x + (c + a)y + (a + b)z = 0; cx + ay + bz = 0; ax+by+cz=0` have non-zero solutions then a relation and `a, b, c` is (A) ` a=b=c=0` (B) `a=2b=3c` (C) `a=b=c!=0` (D) `a+2b+3c=0`

If the equations (b+c)x+(c+a)y+(a+b)z=0; cx+ay+bz=0; ax+by+cz=0 have non-zero solutions then a relation among a, b, c is

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

If the system of equations x - 2y +z = a , 2x + y - 2z = b, x +3y - 3z = c, has at least one solution, then a) a + b + c = 0 b) a - b + c = 0 c) -a + b + c = 0 d) a + b - c = 0

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

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

If the system of equations ax + by + c = 0,bx + cy +a = 0, cx + ay + b = 0 has infinitely many solutions then the system of equations (b + c) x +(c + a)y + (a + b) z = 0(c + a) x + (a+b) y + (b + c) z = 0(a + b) x + (b + c) y +(c + a) z = 0 has

If the system of equations ax + by + c = 0,bx + cy +a = 0, cx + ay + b = 0 has infinitely many solutions then the system of equations (b + c) x +(c + a)y + (a + b) z = 0 (c + a) x + (a+b) y + (b + c) z = 0 (a + b) x + (b + c) y +(c + a) z = 0 has

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 equations ax +by+ cz =0 cx + ay + bz =0 bx + cy +az =0 where a,b,c, in R are non-zero and distinct, has a non-zero solution, then: