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Question

Signals and Systems Question on Region of Convergence of a Causal System

Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): A system is called causal if its output y(t) at an arbitrary time t=t0t = t_0 depends on only the input x(t) x(t) for tt0t≤t_0.
Reason (R) : In a causal system, it is not possible to obtain an output before an input is applied to the system. In the light of the above statements,
In the light of the above statements, choose the correct answer from the options given below.

A

Both (A) and (R) are true and (R) is the correct explanation of (A)

B

Both (A) and (R) are true but (R) is not the correct explanation of (A)

C

(A) is true but (R) is false

D

(A) is false but (R) is true

Answer

Both (A) and (R) are true and (R) is the correct explanation of (A)

Explanation

Solution

The Correct answer is option (A) : Both (A) and (R) are true and (R) is the correct explanation of (A)