Mathematics
2025 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 40–42 of 65. Imported answers require review unless explicitly marked reviewed.
Question 40
Open questionMAMCQ2 marksNeeds review
Let
be the solution of the initial-value problem
. Then, the value of
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 41
Open questionMAMCQ2 marksNeeds review
Let
be the Möbius transformation that maps the points
,
and
conformally onto the points
,
and
, respectively, in the extended complex plane. If
maps the circle centred at
with radius
onto a straight line given by the equation
, then the value of
is equal toYour 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 42
Open questionMAMCQ2 marksNeeds review
Let
and
, where
denotes the imaginary part of
. Let
be the set of all bijective analytic functions
such that
. Then, the value of
isYour answerChoose one option.
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