Metallurgical Engineering
GATE MT area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–30 of 87. Imported answers require independent review unless marked reviewed.
Question 13
Open questionMTMCQ1 markNeeds review
Consider the normal (Gaussian) distributions
,
,
shown in the figure.
and
are the standard deviation and mean of distribution
, respectively, and the means are positive. Which one of the following deductions is correct? 
Your answerChoose one option.
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Open questionMTMSQ1 markNeeds review
Which of the following statements is/are correct for a square matrix
with real number entries?
denotes the transpose of
and
denotes the inverse of
.Your answerSelect all correct options. You can choose more than one.
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Open questionMTNAT1 markNeeds review
The divergence of the vector field
at the point
is ________. (Round off to the nearest integer)Log in to check the answer
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Open questionMTMCQ2 marksNeeds review
If
, where
are not identically zero, then the values of
areYour answerChoose one option.
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Open questionMTMCQ2 marksNeeds review
If
,
, thenYour answerChoose one option.
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Open questionMTNAT2 marksNeeds review
The following data is obtained from an experiment:
| x | 1 | 2 | 3 |
| y | 8 | 15 | 19 |
If the data is fit using the straight line
(where m and c are constants) using the least-squares method, then the value of m is ________.
(Round off to one decimal place).Log in to check the answer
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Open questionMTNAT2 marksNeeds review
The integral
evaluates to ________.
(Round off to two decimal places)Log in to check the answer
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Open questionMTMCQ1 markNeeds review
Order (O) and degree (D) of the differential equation
areYour answerChoose one option.
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Open questionMTMCQ1 markNeeds review
The value of
isYour answerChoose one option.
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Open questionMTNAT1 markNeeds review
The sum of eigen values of the matrix
is __________ (in integer).Log in to check the answer
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