GATE IN area:engineering-mathematics PYQs & Answers — Page 3

Home
GATE
Instrumentation Engineering
Topics
area:engineering-mathematics

Questions 21–30 of 73. Imported answers require independent review unless marked reviewed.

Topic practice 73 questionsPage 3 of 8

A matrix

is constructed by stacking three column vectors

Choose the set of vectors from the following options such that

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

matrix

with all real elements has eigenvalues

, and

. The value of

is ______ (rounded off to nearest integer).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a system given by the following first order differential equation:

where,

and

. Using a step size

for the improved Euler method, the value of

is ________ (rounded off to two decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

be the closed curve in the

-plane, traversed in the counterclockwise direction along the boundary of the rectangle with vertices at

. The value of the line integral

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The complex functions

and

are both analytic in a given domain. Choose the correct option(s) from the following.

Your answerSelect all correct options. You can choose more than one.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The solution of an ordinary differential equation

Given

and

, the value of

is ________ (rounded off to nearest integer).

Note:

and

are constants.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Which one of the given figures P, Q, R and S represents the graph of the following function?

Diagram for Instrumentation Engineering question 9

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Choose solution set

corresponding to the systems of two equations

Note:

denotes the set of real numbers

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

, when expanded as a power series around

, would result in

, with the region of convergence (ROC)

. The coefficients

, are given by the expression__________.

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The solution

, to the differential equation

with initial conditions

and

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE IN area:engineering-mathematics PYQs

Question 19

Question 26

Question 34

Question 46

Question 49

Question 64

Question 9

Question 11

Question 19

Question 20