Let {\g}( {\x})= {\f}( {\x})+ {\f}(1- {\x}) and {\f}^{ {\n}}( {\x}) > 0, {\x} \in(0,1). If {\g} is decreasing in the interval (0, \alpha) and increasing in the interval (\alpha, 1), then \tan ^{-1}(2 \alpha)+\tan ^{-1} (\frac{\alpha+1}{\alpha}) is equal to [10-Apr-2023 shift 2]

JEE Mains 10-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 13 of 90

Marks: +1, -0

Let g(x)=f(x)+f(1−x) and fn(x)>0,x∈(0,1). If g is decreasing in the interval (0,α) and increasing in the interval (α,1), then tan−1(2α)+tan−1(‌

α+1

) is equal to

[10-Apr-2023 shift 2]

Go to Question:

Prev Question

Next Question