True-or-False :If $\tan \theta+\tan 2\theta+\sqrt 3\tan \theta\tan 2\theta=\sqrt 3$ then $\theta=\large\frac{n\pi}{3}+\frac{\pi}{9}$

$\begin{array}{1 1}(A)\;\text{True}\\(B)\;\text{False}\end{array}$

$\tan \theta+\tan 2\theta+\sqrt 3\tan \theta\tan 2\theta=\sqrt 3$
$\tan \theta+\tan 2\theta=\sqrt 3(1-\tan \theta\tan 2\theta)$