Consider the differential equation sinyx (dydx + 1) = yx sinyx, given y(1) = π2 and α = cosy(e12)e12. Let r be the radius of the circle x2 + y2 - 2px + 2py + α + 2 = 0 (where α ≤ 6). Then the number of integral values of 'p' is:

Which of the following events is considered a major turning point that fueled Indian nationalism during British rule due to its brutal nature and widespread condemnation?

Which of the following events is considered the first major peasant uprising against the British in India?