Gate EC-2008 Question Paper With Solutions

Q. 35 Let x(t) be the input and y(t) be the output of a continuous time system. Match the system properties P1, P2 and P3 with system relations R1, R2, R3, R4
Properties                                             Relations
P1 : Linear but NOT time – invariant      R1 : y(t) = t2x(t)
P2 : Time – invariant but NOT linear      R2 : y(t) = t x(t)
P3 : Linear and time – invariant             R3 : y(t) = x(t)
R4 : y(t) = x(t – 5)

(A) (P1, R1), (P2, R3), (P3, R4)

(B) (P1, R2), (P2, R3), (P3, R4)

(C) (P1, R3), (P2, R1), (P3, R2)

(D) (P1, R1), (P2, R2), (P3, R3)

Answer: B

Explanation:
Gate EC-2008 Question Paper With Solutions

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