Mechanical Engineering
GATE ME branch:me PYQs
Build your understanding with focused practice from past exam papers.
Questions 671–680 of 1040. Imported answers require independent review unless marked reviewed.
Question 1
Open questionMEMCQ1 markNeeds review
Consider the matrix
. The number of distinct eigenvalues of
isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
In matrix equation
,
One of the eigenvalues of matrix
isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
A parabola
with
is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by 360° around the x-axis is
Your answerChoose one option.
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Open questionMEMCQ1 markNeeds review
The directional derivative of the function
along a line directed from
to
, evaluated at the point
isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
For the equation
, if
, then the value of
isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
The differential equation
is valid in the domain
with
. The solution of the differential equation isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
The lengths of a large stock of titanium rods follow a normal distribution with a mean (
) of 440 mm and a standard deviation (
) of 1 mm. What is the percentage of rods whose lengths lie between 438 mm and 441 mm?Your answerChoose one option.
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Open questionMEMCQ1 markNeeds review
An analytic function
of complex variable
may be written as
. Then,
and
must satisfyYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity
. At time
, the vertical position of the follower is
, and the system is in the configuration shown below. 
The vertical position of the follower face,
is given byYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
A rigid triangular body, PQR, with sides of equal length of 1 unit moves on a flat plane. At the instant shown, edge QR is parallel to the x-axis, and the body moves such that velocities of points P and R are
and
, in the x and y directions, respectively. The magnitude of the angular velocity of the body is
Your answerChoose one option.
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