GATE Electronics and Communications (EC) 2016 Shift 1 Solved Paper

A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions up to t = 0). Match the excitation signals X, Y, Z with the corresponding time responses for t ≥ 0:
X: Impulse      P: 1 − 𝑒^−𝑡/𝑇
Y: Unit step     Q: t − T(1 − 𝑒^−𝑡/𝑇)
Z: Ramp          R: 𝑒^−𝑡/𝑇