Production and Industrial Engineering
2024 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE PI 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 10–12 of 65. Imported answers require review unless explicitly marked reviewed.
Question 10
Open questionGAMCQ2 marksNeeds review
Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?
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Open questionPIMCQ1 markNeeds review
In the Taylor series expansion of
around
, the coefficient of the term
isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 12
Open questionPIMCQ1 markNeeds review
A vector field is given as
, where
and
are the unit vectors along the x and y axes in the Cartesian frame, respectively. Then the value of
where
is an elemental path taken over an anticlockwise circular contour
of radius
is

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