JEE PYQ: Continuity And Differentiability Question 21
Question 21 - 2020 (09 Jan Shift 1)
Let $f$ be any function continuous on $[a, b]$ and twice differentiable on $(a, b)$. If for all $x \in (a, b)$, $f’(x) > 0$ and $f’’(x) < 0$, then for any $c \in (a, b)$, $\dfrac{f(c) - f(a)}{f(b) - f(c)}$ is greater than:
(1) $\dfrac{b + a}{b - a}$
(2) $1$
(3) $\dfrac{b - c}{c - a}$
(4) $\dfrac{c - a}{b - c}$