Aerospace Engineering
2022 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
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.
Question 10
Open questionGAMCQ2 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?

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Open questionAEMCQ1 markNeeds review
The equation of the straight line representing the tangent to the curve
at the point
isYour answerChoose one option.
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Open questionAEMCQ1 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 getsYour answerChoose one option.
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