GATE ECE exam:gate PYQs & Answers — Page 60

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Questions 591–600 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 60 of 72

The smaller angle (in degrees) between the planes

and

is _____.

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Three fair cubic dice are thrown simultaneously. The probability that all three dice have the same number of dots on the faces show up is (up to third decimal place) ______.

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The residues of a function

are

Your answerChoose one option.

and

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Consider the following statements for continuous-time linear time invariant (LTI) systems.

I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. II. There is no causal and BIBO stable system with a pole in the right half of the complex plane.

Which one among the following is correct?

Your answerChoose one option.

Both I and II are true

Both I and II are not true

Only I is true

Only II is true

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In the circuit shown, V is a sinusoidal voltage source. The current I is in phase with voltage V. The ratio

is _________.

Diagram for Electronics and Communication Engineering question 5

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Consider a single input single output discrete-time system with

as input and

as output, where the two are related as

Which one of the following statements is true about the system?

Your answerChoose one option.

It is causal and stable

It is causal but not stable

It is not causal but stable

It is neither causal nor stable

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A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10 Ω, 5 Ω, 2 Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is __________.

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In the circuit shown, the positive angular frequency

(in radians per second) at which the magnitude of the phase difference between the voltages

and

equals

radians, is ______.

Diagram for Electronics and Communication Engineering question 7

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An LTI system with unit sample response

is a

Your answerChoose one option.

low-pass filter

high-pass filter

band-pass filter

band-stop filter

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A periodic signal

has a trigonometric Fourier series expansion

, we can conclude that

Your answerChoose one option.

are zero for all

and

are zero for

even

are zero for all

and

are zero for

odd

are zero for

even and

are zero for

odd

are zero for

odd and

are zero for

even

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GATE ECE exam:gate PYQs

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