Which of the following is correct in respect of the equation `3 - tan^(2)theta= alpha (1-3 tan^(2)theta)`? (Given that `alpha` is a real number.)

Options

A. `alpha in [(1)/(3), 3]`
B. `alpha in (-oo, (1)/(3)] cup [3, oo)`
C. `alpha in (-oo, (1)/(3)) cup [3, oo)`
D. None of the above