Complete GATE XE 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 13–15 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 5 of 59

Question 13

Open question
XE-AMCQ1 markNeeds review
If the partial differential equation

is parabolic on the circle

, then the values of

,

and

are given by
Your answerChoose one option.

Log in to check the answer

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

Question 14

Open question
XE-ANAT1 markNeeds review
Let

be the positively oriented circle

in the

-plane. If

where

is a real constant, then

is equal to ______.

Log in to check the answer

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

Question 15

Open question
XE-ANAT1 markNeeds review
Let

and

be two linearly independent solutions of

Let

denote the Wronskian of

and

at

. If

then

is equal to ______.

Log in to check the answer

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