Environmental Science and Engineering
GATE ES area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 51–57 of 57. Imported answers require independent review unless marked reviewed.
Question 2
Open questionESMCQ1 markNeeds review
________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 20
Open questionESMSQ1 markNeeds review
The ordinary differential equation
has
as the dependent variable and
as the independent variable. Which of the following classification(s) is/are applicable to the equation?Your answerSelect all correct options. You can choose more than one.
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 21
Open questionESMSQ1 markNeeds review
Consider the following equation:
Which of the following is/are the root(s) of the above equation?Your answerSelect all correct options. You can choose more than one.
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 26
Open questionESMCQ2 marksNeeds review
The 2×2 matrices P and Q satisfy the following relations:
and
The matrix Q is equal to __________.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 27
Open questionESMCQ2 marksNeeds review
A biased die has six faces numbered as
and 6. On rolling the die, the probability of the number
appearing is proportional to
. What is the probability that an even number will appear on rolling the die?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 41
Open questionESNAT2 marksNeeds review
If
, where
, then the value of the ratio
is ________ (answer 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 42
Open questionESNAT2 marksNeeds review
Consider a function
which satisfies the following equation:
As
,
, and at
,
.The value of
at
is ________ (answer 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 answer