# IITJEE Mains (Offline) 2016

Geometry Level 3

Consider $$f(x)=\tan^{-1}\left(\sqrt{\dfrac{1+\sin x}{1-\sin x}}\right),x$$ belongs to $$\left(0,\dfrac{\pi}{2}\right)$$ . A normal to $$y=f(x)$$ at $$x=\dfrac{\pi}{6}$$ also passes through the point $$\text{__________}$$.

×