Consider the system linear equations in `x ,y ,a n dz` given by `(s in3theta)x-y+z=0,(cos2theta)x+4y+3z=0,2x+7y+7z=0.` Find the value of `theta` for which the system has a non-trivial solution.

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 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, 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 equations : x sintheta-2ycostheta-az=0 , x+2y+z=0 , -x+y+z=0 , theta in R

Let system of liner equations in x,y,z,xsin2theta-ycos2theta-zcos2theta=0x/(y z)sin2theta-(2sin2theta)/z-(2cos2theta)/y=0xsin2theta-y(sin2theta+cos2theta)-2zcos2theta=0has a non-trivial solution , then number of value (s) of theta in the interval [0, pi] is

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 value of a for which the system of linear equations ax+y+z=0,ay+z=0,x+y+z=0 possesses non-trivial solution is