Letx(t) be the input and y(t) be the output of a...

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Letx(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, P₃, P₄.
Properties
P₁ : Linear but NOT time-invariant
P₂ : Time-invariant but NOT linear
P₃ : Linear and time-invariant
Relations
R₁ : y(t) = t²x(t)
R₂ : y(t) = t |x(t)|
R₃ : y(t) = |x(t)|
R₄ : y(t) = x(t - 5)

A. (P₁, R₁), (P₂, R₃), (P₃, R₄)

B. (P₁, R₂), (P₂, P₃), (P₃, R₄)

C. (P₁, R₃), (P₂, R₁), (P₃, R₂)

D. (P₁, R₁), (P₂, R₂), (P₃, R₃)

Answer: Option B

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