Engineering Sciences
GATE XE area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 102. Imported answers require independent review unless marked reviewed.
Question 9
Open questionGAMCQ2 marksNeeds review
Which one of the given figures P, Q, R and S represents the graph of the following function?
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 11
Open questionXE-AMCQ1 markNeeds review
Let
be a
real matrix having eigenvalues 1, 2 and 3. If
, where
is the
identity matrix, then the eigenvalues of
areYour 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 12
Open questionXE-AMCQ1 markNeeds review
Let
be a function defined by
Then which one of the following statement is TRUE?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 13
Open questionXE-AMCQ1 markNeeds review
If the quadrature formula
is exact for all polynomials of degree less than or equal to 2, thenYour 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 15
Open questionXE-AMCQ1 markNeeds review
Which one of the following functions is differentiable at
but NOT differentiable at any other point in the complex plane
?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 16
Open questionXE-ANAT1 markNeeds review
If the polynomial
interpolates the points
,
,
, and
, then the value of
is __________ (round off to 2 decimal places).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 17
Open questionXE-ANAT1 markNeeds review
The value of
for which the vector field
is a conservative vector field is ______________ (in integer).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 18
Open questionXE-AMCQ2 marksNeeds review
Let
The eigenvalues of both
and
are 1, 1, and 2. Which one of the following statements is TRUE?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 19
Open questionXE-AMCQ2 marksNeeds review
The surface area of the portion of the paraboloid
that lies between the planes
and
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 20
Open questionXE-ANAT2 marksNeeds review
The probability of a person telling the truth is
. An unbiased die is thrown by the same person twice and the person reports that the numbers appeared in both the throws are same. Then the probability that actually the numbers appeared in both the throws are same is __________ (round off to 2 decimal places).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