Consider the system of linear equations in x, y, and z:
`(sin 3 theta) x-y+z=0`
`(cos 2 theta) x+4y+3z=0`
`2x+7y+7z=0`
Which of the following can be the values of `theta` for which the system has a non-trivial solution ?

Consider the system of linear equations in x , ya n dz : ""(sin3theta)x-y+z=0 , (cos2theta)x+4y+3z=0 , 2x+7y+7z=0 Which of the following can be the value of theta for which the system has a non-trivial solution (A) npi+(-1)^npi/6,AAn in Z (B) npi+(-1)^npi/3,AAn in Z (C) npi+(-1)^npi/9,AAn in Z (D)none of these

Consider the system of linear equations in x , ya n dz : ""(sin3theta)x-y+z=0 , (cos2theta)x+4y+3z=0 , 2x+7y+7z=0 Which of the following can be the value of theta for which the system has a non-trivial solution (A) npi+(-1)^npi/6,AAn in Z (B) npi+(-1)^npi/3,AAn in Z (C) npi+(-1)^npi/9,AAn in Z (D)none of these

Consider the system of linear equations in x , ya n dz : ""(sin3theta)x-y+z=0(cos2theta)x+4y+3z=0 3x+7y+7z=0 Which of the following can be the value of theta for which the system has a non-trivial solution npi+(-1)^npi/6,AAn in Z npi+(-1)^npi/3,AAn in Z npi+(-1)^npi/9,AAn in Z none of these

Consider the system of linear equations in x , ya n dz : ""(sin3theta)x-y+z=0(cos2theta)x+4y+3z=0 3x+7y+7z=0 Which of the following can be the value of theta for which the system has a non-trivial solution npi+(-1)^npi/6,AAn in Z npi+(-1)^npi/3,AAn in Z npi+(-1)^npi/9,AAn in Z none of these

Consider the system linear equations in x ,y ,a n dz given by (sin3theta)x-y+z=0,(cos2theta)x+4y+3z=0,2x+7y+7z=0. the value of theta for which the system has a non-trivial solution : (A) theta = npi/2 (B) theta = (2n+1)pi/6 (C) theta = npi or npi + (-1)^n pi/6 (D) none of these

Consider the system linear equations in x ,y ,a n dz given by (sin3theta)x-y+z=0,(cos2theta)x+4y+3z=0,2x+7y+7z=0. the value of theta for which the system has a non-trivial solution : (A) theta = npi/2 (B) theta = (2n+1)pi/6 (C) theta = npi or npi + (-1)^n pi/6 (D) none of these

Consider the system linear equations in x ,y ,a n dz given by (sin3theta)x-y+z=0,(cos2theta)x+4y+3z=0,2x+7y+7z=0. the value of theta for which the system has a non-trivial solution : (A) theta = npi/2 (B) theta = (2n+1)pi/6 (C) theta = npi or npi + (-1)^n pi/6 (D) none of these

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 :