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Question

# A system have input x(t) and output y(t) follow following relations y(t)={0 x(t)<0x(t)+x(tâˆ’2) x(t)â‰¥0 Then select the correct statements about system.

A
System is time variant
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B
System is stable
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C
System is memory less
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D
System is causal
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Solution

## The correct option is D System is causal (a) System has memory since the values of the output signal y(t) at time t depends on the present and past input signal x(t). (b) System is causal since the present output y(t) at time ′t′ depends on the present and past values of the input signal x(t). (c) System is time - invariant . (d) System is stable. ∫∞−∞|y(t)|<∞

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