GATE EE 2022: Signals & Systems Quiz 25

If x(t) = tn u(t), then the Laplace transform of x(t) is:

Consider the following pole-zero plot in z-plane of causal and stable system and choose the correct option:

Consider Fourier transform pair as , where P and Q are function of a. The value of is:

For the given signal x(t), which of the given following is correct?

x(t) = 10 sin(2πft)u(t)

There are two sequences x[n] and y[n]. Given x[n] = (0.4)ⁿ u(n) and y[n] = x[n] * x[n]. Then the value of  is

Given that  If input applied to the system is 8cos2t then the value of angle through which response will be shifted to the input-