Let f be any function continuous on [a, b] and twice differentiable on (a, b). If for all x ∈ (a, b), f'(x) > 0 and f''(x) < 0, then for any c ∈ (a, b), the ratio f(c) - f(a)f(b) - f(c) is:

Which of the following territories was annexed by Lord Dalhousie under the pretext of misgovernance, and not directly through the Doctrine of Lapse?

What was the primary stated reason for the Partition of Bengal in 1905 by Lord Curzon?