If $a\cos 2\theta+b\sin 2\theta=c$ has $\alpha$ & $\beta$ as its solutions then $\tan\alpha+\tan\beta$ and $\tan\alpha\tan\beta$ is equal to

Question

$\begin{array}{1 1}(a)\;\large\frac{2b}{c+a},\frac{c-a}{c+a}&(b)\;\large\frac{c+a}{2b},\frac{c-a}{c+a}\\(c)\;\large\frac{2b}{c-a},\frac{c-a}{c+a}&(d)\;\large\frac{2b}{c+a},\frac{c+a}{c-a}\end{array}$