GATE EE kind:question PYQs & Answers — Page 41

Questions 401–410 of 715. Imported answers require independent review unless marked reviewed.

is a polynomial on real

over real coefficients

where

. Which of the following statements is true?

Your answerChoose one option.

can be chosen to ensure that

is a root for any given set

No choice of coefficients can make all roots identical.

can be chosen to ensure that all roots are complex.

alone cannot ensure that all roots are real.

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Which of the following is true for all possible non-zero choices of integers

, or all possible non-zero choices of real numbers

, as applicable?

Your answerChoose one option.

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Which of the following statements is true about the two sided Laplace transform?

Your answerChoose one option.

It exists for every signal that may or may not have a Fourier transform.

It has no poles for any bounded signal that is non-zero only inside a finite time interval.

The number of finite poles and finite zeroes must be equal.

If a signal can be expressed as a weighted sum of shifted one sided exponentials, then its Laplace Transform will have no poles.

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Consider a signal

, where

, and

. The z-transform of

with region of convergence being

Your answerChoose one option.

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The value of the following complex integral, with C representing the unit circle centered at origin in the counterclockwise sense, is:

Your answerChoose one option.

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and

are, respectively, the rms and average values of

, and similarly,

and

are, respectively, the rms and average values of

are independent of

. Which of the following is true?

Your answerChoose one option.

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A three-phase cylindrical rotor synchronous generator has a synchronous reactance

and a negligible armature resistance. The magnitude of per phase terminal voltage is

and the magnitude of per phase induced emf is

. Considering the following two statements, P and Q, P: For any three-phase balanced leading load connected across the terminals of this synchronous generator,

is always more than

. Q: For any three-phase balanced lagging load connected across the terminals of this synchronous generator,

is always less than

. Which of the following options is correct?

Your answerChoose one option.

P is false and Q is true.

P is true and Q is false.

P is false and Q is false.

P is true and Q is true.

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A lossless transmission line with 0.2 pu reactance per phase uniformly distributed along the length of the line, connecting a generator bus to a load bus, is protected up to 80 % of its length by a distance relay placed at the generator bus. The generator terminal voltage is 1 pu. There is no generation at the load bus. The threshold pu current for operation of the distance relay for a solid three phase-to-ground fault on the transmission line is closest to:

Your answerChoose one option.

1.00

3.61

5.00

6.25

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Out of the following options, the most relevant information needed to specify the real power (P) at the PV buses in a load flow analysis is

Your answerChoose one option.

solution of economic load dispatch

rated power output of the generator

rated voltage of the generator

base power of the generator

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Consider a linear time-invariant system whose input

and output

are related by the following differential equation:

The poles of this system are at

Your answerChoose one option.

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GATE EE kind:question PYQs

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