If the equation 2 cot−1(x2 + 2x + k) = π − 3 tan−1(x2 + 2x + k) has two distinct real solutions, then all possible values of k lie in the interval:

Who is widely regarded as one of the earliest and most prominent female figures in the Indian Rebellion of 1857, symbolizing resistance against British rule?

Which of the following events is often considered a turning point in the Indian independence movement due to its impact on public sentiment and galvanizing nationalist feelings?

Who led India's Non-Cooperation Movement against British rule?

Which of the following movements is also known as the Indigo Revolt and was primarily led by peasants, influenced by both nationalism and resistance to economic exploitation?

Which major event in Indian history involved a massive, non-violent protest demanding immediate self-rule from British authorities?