A. The function is piece-wise continuous

B. The function is of exponential order

C. The function is piecewise discrete

D. The function is of differential order

a. A & B

b. C & D

c. A & D

d. B & C

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**ANSWER: a. A & B **

a. Greater than the largest pole

b. Less than the smallest pole

c. Between two poles

d. Cannot be defined

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**ANSWER: c. Between two poles **

a. 1 / s + a with ROC σ > - a

b. ω / (s + a)

c. s + a / (s + a)

d. Aω / s

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**ANSWER: c. s + a / (s + a) ^{2} + ω^{2} with ROC σ > - a **

a. Multiplication by e

b. Multiplication by e

c. Multiplication by e

d. Multiplication by e

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**ANSWER: b. Multiplication by e ^{-st0} in the frequency domain**

a. Step Function shifted by an amount equal to ramp

b. Ramp Function shifted by an amount equal to step

c. Ramp function of zero slope

d. Step function of zero slope

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**ANSWER: b. Ramp Function shifted by an amount equal to step **

a. Zero initial condition

b. Non-zero initial condition

c. Zero final condition

d. Non-zero final condition

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**ANSWER: b. Non-zero initial condition **

a. On L.H.S of ROC

b. On R.H.S of ROC

c. On both sides of ROC

d. None of the above

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**ANSWER: c. On both sides of ROC **

a. Simple multiplication in complex frequency domain

b. Simple division in complex frequency domain

c. Simple multiplication in complex time domain

d. Simple division in complex time domain

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**ANSWER: a. Simple multiplication in complex frequency domain **

a. Black's function

b. Red's function

c. Green's function

d. None of the above

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**ANSWER: c. Green's function **

a. Only if all the poles of system transfer function lie in left-half of S-plane

b. Only if all the poles of system transfer function lie in right-half of S-plane

c. Only if all the poles of system transfer function lie at the centre of S-plane

d. None of the above

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**ANSWER: a. Only if all the poles of system transfer function lie in left-half of S-plane **

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