Jee Advanced
Application Of Derivatives
JEE Advanced 2022 Paper 2 Online
MCQM+4 / -22022
Let
\(\alpha=\sum\limits_{k = 1}^\infty {{{\sin }^{2k}}\left( {{\pi \over 6}} \right)}\)
Let $g:[0,1] \rightarrow \mathbb{R}$ be the function defined by
\(g(x)=2^{\alpha x}+2^{\alpha(1-x)} .\)
Then, which of the following statements is/are TRUE ?
\(\alpha=\sum\limits_{k = 1}^\infty {{{\sin }^{2k}}\left( {{\pi \over 6}} \right)}\)
Let $g:[0,1] \rightarrow \mathbb{R}$ be the function defined by
\(g(x)=2^{\alpha x}+2^{\alpha(1-x)} .\)
Then, which of the following statements is/are TRUE ?