Metallurgical Engineering
GATE MT area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 87. Imported answers require independent review unless marked reviewed.
Question 11
Open questionMTMCQ1 markNeeds review
Which one of the following matrices has eigenvalues 1 and 6?
Your answerChoose one option.
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Open questionMTMSQ1 markNeeds review
Which of the following functions is/are expandable using Maclaurin series?
Your answerSelect all correct options. You can choose more than one.
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Open questionMTNAT1 markNeeds review
A linear regression model was fitted to a set of
data. The total sum of squares and sum of squares of error are 120 and 12, respectively. The coefficient of determination (
) of the fit is _____ (rounded off to one decimal place).Log in to check the answer
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Open questionMTMCQ2 marksNeeds review
For two continuous functions
and
, the relation
describes an exact differential equation ifYour answerChoose one option.
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Open questionMTMCQ2 marksNeeds review
Which one of the following matrices is orthogonal?
Your answerChoose one option.
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Open questionMTNAT2 marksNeeds review
For a two-dimensional field described by
, the magnitude of its gradient at the point
is _____ (rounded off to two decimal places).Log in to check the answer
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Open questionMTNAT2 marksNeeds review
The value of
is _____ (in integer).Log in to check the answer
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Open questionMTNAT2 marksNeeds review
Two consecutive estimates of the root of a function
obtained using the Newton-Raphson method are
and
, and the value of the function at
is 15.The numerical value of first derivative of the function evaluated at
is _____ (in integer).Log in to check the answer
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Open questionMTMCQ1 markNeeds review
If
and
are independent normally distributed random variables with means
and
, and variances
and
, respectively, then the combination
has mean
and variance
such thatYour answerChoose one option.
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Open questionMTMCQ1 markNeeds review
Which one of the following is the Taylor-series expansion of
about the origin for
?
is a real number.Your answerChoose one option.
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