If a,b,c are non-zeroes then the system of equations `(alpha+a)x+alphay+alphaz=0` `alphax+(alpha+b)y+alphaz=0` `alphax+alphay+(alpha+c)z=0`

If a , b , c are non-zero, then the system of equations (alpha+a)x+alphay+alphaz=0,alphax+ , (alpha+b)y+alphaz=0,alphax+alphay+(alpha+c)z=0 has a non-trivial solution if alpha^(-1)= (A) -(a^(-1)+b^(-1)+c^(-1)) (B) a+b+c (C) alpha+a+b+c=1 (D) none of these

If a , b , c are non-zero, then the system of equations (alpha+a)x+alphay+alphaz=0, alphax+(alpha+b)y+alphaz=0, alphax+alphay+(alpha+c)z=0 has a non-trivial solution if

If a , b , c are non-zero, then the system of equations (alpha+a)x+alphay+alphaz=0, alphax+(alpha+b)y+alphaz=0, alphax+alphay+(alpha+c)z=0 has a non-trivial solution if

If a , b , c are non-zero, then the system of equations (alpha+a)x+alphay+alphaz=0,alphax+(alpha+b)y+alphaz=0,alphax+alphay+(alpha+c)z=0' has a non-trivial solution if alpha^(-1)= (A) -(a^(-1)+b^(-1)+c^(-1)) (B) a+b+c (C) alpha+a+b+c=1 (D) none of these

If a , b , c are non-zero, then the system of equations (alpha+a)x+alphay+alphaz=0,alphax+(alpha+b)y+alphaz=0,alphax+alphay+(alpha+c)z=0' has a non-trivial solution if alpha^(-1)= (A) -(a^(-1)+b^(-1)+c^(-1)) (B) a+b+c (C) alpha+a+b+c=1 (D) none of these

If a,b,c are non-zero,then the system of equations (alpha+a)x+alpha y+alpha z=0,alpha x+(alpha+b)y+alpha z=0,alpha x+alpha y+(alpha+c)z=0 has a non-trivial solution if alpha^(-1)=(A)-(a^(-1)+b^(-1)+c^(-1))(B)a+b+c (C) alpha+a+b+c=1 (D) none of these

The system of equations alphax+y+z=alpha-1,x+alphay+z=alpha-1,x+y+alphaz=alpha-1 has no solution if alpha is

The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1 x+y+alphaz=alpha-1 and has no solution if alpha is

The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1 x+y+alphaz=alpha-1 and has no solution if alpha is