GATE ECE exam:gate PYQs & Answers — Page 59

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Questions 581–590 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 59 of 72

The contour C given below is on the complex plane

, where

Diagram for Electronics and Communication Engineering question 51

The value of the integral

is ______.

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Let

and

. Assume that

and

are independent variables. At

, the value (correct to two decimal places) of

is ________ .

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Consider the network shown below with

and

. The network is connected to a constant voltage source of 11 V.

Diagram for Electronics and Communication Engineering question 53

The magnitude of the current (in amperes, accurate to two decimal places) through the source is ______.

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A band limited low-pass signal

of bandwidth 5 kHz is sampled at a sampling rate

. The signal

is reconstructed using the reconstruction filter

whose magnitude response is shown below:

Diagram for Electronics and Communication Engineering question 54

The minimum sampling rate

(in kHz) for perfect reconstruction of

is ______.

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Let

be 8-point DFT of a sequence

, where

. The value (correct to two decimal places) of

is ______.

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Consider the

matrix

It is given that

has only one real eigenvalue. Then the real eigenvalue of

Your answerChoose one option.

−2.5

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The rank of the matrix

is __________.

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The rank of the matrix

Your answerChoose one option.

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The general solution of the differential equation

in terms of arbitrary constants

and

Your answerChoose one option.

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Consider the following statements about the linear dependence of the real valued functions

and

, over the field of real numbers.

and

are linearly independent on

II.

and

are linearly dependent on

III.

and

are linearly independent on

IV.

and

are linearly dependent on

Which one among the following is correct?

Your answerChoose one option.

Both I and II are true

Both I and III are true

Both II and IV are true

Both III and IV are true

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GATE ECE exam:gate PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 1

Question 1

Question 2

Question 2

Question 3