[Solved] The number of all possible values of \\theta , where 0 < \\theta < \\pi. for which the system of equations (y + z) \\cos 3 \\theta = (xyz) \\sin 3\\theta x \\sin 3 \\theta = \\frac{2 \\cos 3\\theta}{y} + \\frac{2 \\sin 3\\theta}{z} (xyz) \\sin 3\\theta = (y + 2z) \\cos 3 \\theta + y \\sin 3 \\theta have a solution (x_0, y_0, z_0) with y_0z_0 \\leq 0, is - - JEE (Advanced) 2010 Paper-1