If `0lt= thetalt=pi` and the system of equations x+(sin`theta)y- (costheta) z =0, (cos theta ) x-y+z=0, (sin theta) x+y-z=0` has a non -trivial solution then `theta` is

If 0lt=thetalt=pi and the system of equations x= (sin theta)y+(cos theta)z y=z+( cos theta) x z=(sin theta ) x+y has a non-trivial solution then (8theta)/(pi) is equal to

If 0lt=thetalt=pi and the system of equations x=(sin theta)y+(cos theta)z y=z+(cos theta) x z=(sin theta) x+y has a non-trivial solution then (8theta)/(pi) is equal to

If 0lt=thetalt=pi and the system of equations x=(sin theta)y+(cos theta)z y=z+(cos theta) x z=(sin theta) x+y has a non-trivial solution then (8theta)/(pi) is equal to

If 0lt=thetalt=pi and the system of equations x=(sin theta)y+(cos theta)z y=z+(cos theta) x z=(sin theta) x+y has a non-trivial solution then (8theta)/(pi) is equal to

If 0 lt theta lt pi and the system of equations (sin theta) x + y + z = 0 x + (cos theta) y + z = 0 (sin theta) x + (cos theta) y + z = 0 has a non-trivial solution, then theta =

If 0 lt theta lt pi and the system of equations (sin theta) x + y + z = 0 x + (cos theta) y + z = 0 (sin theta) x + (cos theta) y + z = 0 has a non-trivial solution, then theta =

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 , (cos theta) x+y+2z=0 , theta le 0 lt 2 pi has non-trivial solution (s)

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta) x+y+2z=0 , 0 le theta lt 2 pi has non-trivial solution (s)

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 , (cos theta) x+y+2z=0 , theta le 0 lt 2 pi has non-trivial solution (s)