Offline paper
Mathematics · 2016
JEE Main 2016 · 2016-04-03 Offline · Q72
Consider f(x)= tan^-1(√((1+ sin x)/(1- sin x))), x ∈(0, (π)/2). A normal to y=f(x) at x=(π)/6 also passes through the point:
Consider
$$f(x)=\tan ^{-1}\left(\sqrt{\frac{1+\sin x}{1-\sin x}}\right), x \in\left(0, \frac{\pi}{2}\right) .
$$
A normal to $\displaystyle y=f(x)$ at $\displaystyle x=\frac{\pi}{6}$ also passes through the point :
Official answer
(2)
$\displaystyle \left(0, \frac{2 \pi}{3}\right)$
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.