Complete GATE XE 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 10–12 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 4 of 59

Question 10

Open question
GAMCQ2 marksNeeds review
An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east.
The ant first turns

anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting.
moves forward for 10 cm.
turns

clockwise.
The pattern made by the trace left behind by the ant is
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Question 11

Open question
XE-AMCQ1 markNeeds review
The value of

is
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Question 12

Open question
XE-AMCQ1 markNeeds review
Let

be the set of complex numbers. Let the function

for

be analytic in

, where

If

denotes the derivative of

, then
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