Mathematics
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.
Question 37
Open questionMAMCQ2 marksNeeds review
Let
. Define an inner product on
with respect to
as
.
Consider the subspace
. Which one of the following sets is an orthonormal basis of
with respect to
?Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 38
Open questionMAMCQ2 marksNeeds review
The value of the contour integral
, where
, oriented in the counter-clockwise direction, is equal toYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 39
Open questionMAMCQ2 marksNeeds review
Let
. On which one of the following domains, does
represent an analytic function?Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer