L-Shaped Object Equilibrium

An L-shaped object, made of thin rod of uniform mass density, is suspended with a string as shown in figure. If AB = BC, and the angle made by AB with downward vertical is $\theta$, then:

(A) $tan\theta = \frac {1}{2}$
(B) $tan \theta = \frac {1}{3}$
(C) $tan \theta = \frac {2}{\sqrt 3}$
(D) $tan \theta = \frac {1}{2\sqrt 3}$

[Based on JEE Main 2019]

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