Let [t] denote the greatest integer less than or equal to t. If the function f(x) defined by: f(x) = b2 sin(π/2 ⌊π/2 (cos x + sin x) cos x⌋) for x 0; f(x) = a for x = 0; is continuous at x = 0, then the value of a2 + b2 is equal to:

Which Indian independence movement leader was primarily known for his philosophy and practice of non-violent civil disobedience?

Who gave the call for 'Do or Die' during the Quit India Movement in 1942?

Which of the following revolutionary pairs were imprisoned together in Cellular Jail and faced harsh conditions, contributing significantly to the Indian independence movement?