SSC CHSL 2023 PYQ — Question 55

The correct answer is option 2 i.e. $\sqrt3$.

 A = 30°

The value of $\frac{(2 tan A) }{(1 - tan² A)}$ = $\frac{(2 tan 30) }{(1 - tan² 30)}$

⇒ $\frac{(2\times \frac{1}{\sqrt3}) }{1 - (\frac{1}{\sqrt3})^2}$

⇒ $\frac{2}{\sqrt3}\times\frac{3}{2}$

⇒ $\frac{3}{ \sqrt{3}}$ = $\sqrt3$