GATE EC 2022: Signals & Systems Quiz 5 (App update required to attempt this test)

A continuous time signal is given as

The correct expression for g(2t) is

For the wave form shown in figure the equation is

Consider the LTI system given below:

The output for unit impulse input at t = 1 is ____.

The figure shows two signal x(t) and h(t) as

Which of the waveforms in the option corresponds to convolution x(t) *h(t)?

The complex Fourier coefficient C_n of the full wave rectified sin function shown in figure below is

The Fourier transform of a signal x(t)= e^-|t| is X(jω) = 2/(ω²+1). Then the Fourier transform of  is