The number of all possible values of the...

The number of all possible values of `theta` where `0 lt theta lt pi` for which the system of equations `(y+z)cos 3 theta=(xyz)sin 3theta, x sin 3 theta=(2cos 3theta)/y+(2sin 3 theta)/y, (xyz) sin 3theta=(y+2z)cos 3 theta+y sin 3 theta` has a solution `(x_(0),y_(0),z_(0))` with `y_(0)z_(0)!=0` is

A

1

B

0

C

2

D

3

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The correct Answer is:

D

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