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.

Paper practice 65 questionsPage 4 of 22

Question 10

Open question
GAMCQ2 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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Question 11

Open question
PIMCQ1 markNeeds review
In the Taylor series expansion of

around

, the coefficient of the term

is
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Question 12

Open question
PIMCQ1 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
Diagram for Production and Industrial Engineering question 12

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