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

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

If system of equations (tan alpha)x+(cot alpha)y+(8cos2 alpha)z=0

The system of equations alpha x-y-z=alpha-1 , x-alpha y-z=alpha-1,x-y-alpha z=alpha-1 has no solution if alpha

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 value of alpha for which the system of linear equations: x+(sin alpha)y+(cos alpha)z=0,x+(cos alpha)y+(sin alpha)z=0,-x+(sin alpha)y+(-cos alpha)z=0 has a non - trivial solution could be

Let lambda and alpha be real.Find the set of all values of lambda for which the system of linear equations lambda x+(sin alpha)y+(cos alpha)z=0,x+(cos alpha)y+(sin alpha)z=0,quad -x+(sin alpha)y-(cos alpha)z=0