A system provides output yi(t) when xi(t) is applied. If the system is said to be LTI then which of the following properties must satisfy?
(i).If the input is x3 = ax1(t) + bx2(t), then output must be y3(t) = ay1(t) + by2(t)
(ii).If the input is x(t – T), then the output must be y (t – T)
(iii).If the input is x3 = ax1(t) + bx2(t), then output must be y3(t) = ay1(t) * by2(t)
(iv).If the input is x(t – T), then the output must be y(t + T)
1
(i), (ii) and (iv)
2
(i), (ii) and (iii)
3
(ii), (iii) and (iv)
4
(i) and (ii)