Engineering Sciences
GATE XE discipline:engineering-sciences PYQs
Build your understanding with focused practice from past exam papers.
Questions 1261–1270 of 1772. Imported answers require independent review unless marked reviewed.
Question 4
Open questionXE-AMCQ1 markNeeds review
If the transformation
reduces the partial differential equation
to the equation
, then
equalsYour 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 answerQuestion 5
Open questionXE-ANAT1 markNeeds review
The value of
for which the system of equations
has a solution is ________ .
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 answerQuestion 6
Open questionXE-ANAT1 markNeeds review
The value of the line integral
, where
is the circle
oriented counter clockwise, is ________ .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 answerQuestion 7
Open questionXE-ANAT1 markNeeds review
Let
and
be two linearly independent solutions of the differential equation
,
. If
, then
is ________ .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 answerQuestion 8
Open questionXE-AMCQ2 marksNeeds review
If
and
is the matrix where
and
are linearly independent eigenvectors of the matrix
, then the sum of the absolute values of all the elements of the matrix
isYour 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 answerQuestion 9
Open questionXE-AMCQ2 marksNeeds review
If
is the polynomial obtained by Lagrange interpolation satisfying
,
,
and
, then the value of
isYour 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 answerQuestion 10
Open questionXE-ANAT2 marksNeeds review
The number of critical points of the function
at which there is neither maximum nor minimum is ________ .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 answerQuestion 11
Open questionXE-ANAT2 marksNeeds review
Let
, where
and
is the circle
oriented counter clockwise. Then, the value of
rounded off to one decimal place is ________ .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 answerQuestion 1
Open questionXE-BMCQ1 markNeeds review
For stable equilibrium of a floating body, which one of the following statements is correct?
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 answerQuestion 2
Open questionXE-BMCQ1 markNeeds review
If
and
are the velocity components in the
- and
-directions respectively, the
-component of vorticity
at a point in a flow field isYour 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