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

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 , 0 le theta lt 2 pi has non-trivial solution (s)

The system has non trivial solution if |{:("sin"3theta,-1,1),("cos"2theta,4,3),(2,7,7):}| =0 then theta =

The general solution of cosxcos6x=-1 is (a) x=(2n+1)pi,n in Z (b) x=2npi,n in Z (c) x=npi,n in Z (d) none of these

Number of values of theta lying I [0,100 pi ] for which the system of equations (sin 3 theta ) x-y+z=0, (cos 2 theta ) x+4y +3z=0, 2x+ 7y+7z =0 has non-trivial solution is "____"

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 )

If A=[costheta-sinthetasinthetacostheta] , then A^T+A=I_2 , if theta=npi,\ \ n in Z (b) theta=(2n+1)pi/2,\ \ n in Z (c) theta=2n\ pi+pi/3,\ \ n in Z (d) none of these