If $\cos (\alpha+\beta)=\frac{3}{5}, \sin (\alpha-\beta)=\frac{5}{13}$ and $0<\alpha, \beta<\frac{\pi}{4}$, then $\tan (2 \alpha)$ is equal to :
$\frac{21}{16}$
$\frac{63}{52}$
$\frac{33}{52}$
$\frac{63}{16}$
Correct Option: , 4
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