Complete GATE AE 2022 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
Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown.
What is the ratio of the areas of unshaded regions of case M to that of case N?
Diagram for Aerospace Engineering question 10

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Question 11

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AEMCQ1 markNeeds review
The equation of the straight line representing the tangent to the curve

at the point

is
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Question 12

Open question
AEMCQ1 markNeeds review
Let

,

, and

be the unit vectors in the x, y and z directions, respectively. If the vector

is rotated about positive

by

, one gets
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