GATE EE format:msq PYQs & Answers — Page 2

Questions 11–20 of 22. Imported answers require independent review unless marked reviewed.

Which of the following complex functions is/are analytic on the complex plane?

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Let

be a real-valued function whose second derivative is positive for

. Which of the following statements is/are always true?

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has at least one local minimum.

cannot have two distinct local minima.

has at least one local maximum.

The minimum value of

cannot be negative.

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Consider the function

for

, where

denotes the maximum of

and

. Which of the following statements is/are true?

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is not differentiable.

is differentiable and its derivative is continuous.

is differentiable but its derivative is not continuous.

and its derivative are differentiable.

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Which of the following differential equations is/are nonlinear?

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For a two-phase network, the phase voltages

and

are to be expressed in terms of sequence voltages

and

. The possible option(s) for matrix

is/are

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Which of the following options is/are correct for the Automatic Generation Control (AGC) and Automatic Voltage Regulator (AVR) installed with synchronous generators?

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AGC response has a local effect on frequency while AVR response has a global effect on voltage.

AGC response has a global effect on frequency while AVR response has a local effect on voltage.

AGC regulates the field current of the synchronous generator while AVR regulates the generator’s mechanical power input.

AGC regulates the generator’s mechanical power input while AVR regulates the field current of the synchronous generator.

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A semiconductor switch needs to block voltage V of only one polarity (V > 0) during OFF state as shown in figure (i) and carry current in both directions during ON state as shown in figure (ii). Which of the following switch combination(s) will realize the same?

Diagram for Electrical Engineering question 26

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Diagram for Electrical Engineering question 26 (figure 2)

Diagram for Electrical Engineering question 26 (figure 3)

Diagram for Electrical Engineering question 26 (figure 4)

Diagram for Electrical Engineering question 26 (figure 5)

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Which of the following statement(s) is/are true?

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If an LTI system is causal, it is stable

A discrete time LTI system is causal if and only if its response to a step input

is 0 for

If a discrete time LTI system has an impulse response

of finite duration the system is stable

If the impulse response

for all

, then the LTI system is stable.

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The bus admittance (

) matrix of a 3-bus power system is given below.

Considering that there is no shunt inductor connected to any of the buses, which of the following can NOT be true?

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Line charging capacitor of finite value is present in all three lines

Line charging capacitor of finite value is present in line 2-3 only

Line charging capacitor of finite value is present in line 2-3 only and shunt capacitor of finite value is present in bus 1 only

Line charging capacitor of finite value is present in line 2-3 only and shunt capacitor of finite value is present in bus 3 only

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Consider the following equation in a 2-D real-space.

for

Which of the following statement(s) is/are true.

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When p = 2, the area enclosed by the curve is

When p tends to

, the area enclosed by the curve tends to 4.

When p tends to 0, the area enclosed by the curve is 1.

When p = 1, the area enclosed by the curve is 2.

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GATE EE format:msq PYQs

Question 30

Question 43

Question 44

Question 45

Question 46

Question 47

Question 26

Question 27

Question 28

Question 42