GATE ECE year:2017 PYQs & Answers

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Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 130. Imported answers require independent review unless marked reviewed.

Topic practice 130 questionsPage 1 of 13

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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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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GATE ECE year:2017 PYQs

How to practice year:2017

Question 1

Question 1

Question 2

Question 2

Question 3

Question 3

Question 4

Question 4

Question 5

Question 5