" 2x+y+( operatornameose) "y=0,3x+y+2z=0,(cos theta)x+y+2z=00<=theta<2 pi," has non -trivili solutions "

The set of equations lambda x-y+(cos theta)z=0,3x+y+2z=0,(cos theta)x+y+2z=0,0<=theta<=2 pi, has nontrivial 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)

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 , 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)

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

the value of theta for which the system of equations (sin 3theta)x-2y+3z=0, (cos 2theta)x+8y-7z=0 and 2x+14y-11z=0 has a non - trivial solution, is (here, n in Z )

the value of theta for which the system of equations (sin 3theta)x-2y+3z=0, (cos 2theta)x+8y-7z=0 and 2x+14y-11z=0 has a non - trivial solution, is (here, n in Z )

Consider the system of equations in x, y, z as x sin 3 theta-y + z=0, x cos 2 theta+ 4y + 3z= 0 , 2x + 7y + 7z = 0. If this system has a non-trival solution, then for integer n, values of theta are given by :

Consider the system of equations in x, y, z as x sin3theta-y+z =0 x cos 2 theta+4 y+3 z =0 2 x+7 y+7 z =0 If this system has a non-trivial solution, then for any integer n, values of theta are given