Question

Let g(x) = f(x) + f(1 - x) and f''(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 ($\frac{1}{α}$) + tan-1$(\frac{α+1}{α})$ is equal to

• A. $\frac{5\pi}{4}$
• B. $\frac{3\pi}{2}$
• C. $\frac{3\pi}{4}$
• D. $\pi$

Answer 1

Answer: (B)

$\frac{3\pi}{2}$

Answer 2

The correct option is(B): $\frac{3\pi}{2}$