GATE ECE year:2019 PYQs & Answers — Page 2

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Questions 11–20 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 2 of 7

Which one of the following functions is analytic over the entire complex plane?

Your answerChoose one option.

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The families of curves represented by the solution of the equation

for

and

, respectively, are

Your answerChoose one option.

Paramas and Circles

Circles and Hyperbolas

Hyperbolas and Circles

Hyperbolas and Parabolas

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Let

be the z-transform of a real-valued discrete-time signal

. If

has a zero at

, and

has a total of four zeros, which one of the following plots represents all the zeros correctly?

Your answerChoose one option.

Diagram for Electronics and Communication Engineering question 3

Diagram for Electronics and Communication Engineering question 3 (figure 2)

Diagram for Electronics and Communication Engineering question 3 (figure 3)

Diagram for Electronics and Communication Engineering question 3 (figure 4)

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Consider the two-port resistive network shown in the figure.

Diagram for Electronics and Communication Engineering question 4

When an excitation of 5 V is applied across Port 1, and Port 2 is shorted, the current through the short circuit at Port 2 is measured to be 1 A (see (a) in the figure).

Diagram for Electronics and Communication Engineering question 4 (figure 2)

Now, if an excitation of 5 V is applied across Port 2, and Port 1 is shorted (see (b) in the figure),

Diagram for Electronics and Communication Engineering question 4 (figure 3)

what is the current through the short circuit at Port 1?

Your answerChoose one option.

0.5 A

1 A

2 A

2.5 A

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Let

be the unit-step response of a causal system having a transfer function

that is,

. The forced response of the system is

Your answerChoose one option.

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For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles

and the number of system zeros

in the frequency range

Diagram for Electronics and Communication Engineering question 6

Your answerChoose one option.

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A linear Hamming code is used to map 4-bit messages to 7-bit codewords. The encoder mapping is linear. If the message 0001 is mapped to the codeword 0000111, and the message 0011 is mapped to the codeword 110010, then the message 0010 is mapped to

Your answerChoose one option.

001011

110001

111100

111111

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