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 52–54 of 65. Imported answers require review unless explicitly marked reviewed.
Question 52
Open questionMAMSQ2 marksNeeds review
Let
be the solution of the initial-boundary value problem
Then, which of the following is/are TRUE?Your answerSelect all correct options. You can choose more than one.
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Open questionMAMSQ2 marksNeeds review
Consider the function
given by
Then, which of the following is/are TRUE?Your answerSelect all correct options. You can choose more than one.
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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 54
Open questionMAMSQ2 marksNeeds review
Let
be an orthonormal set of vectors in a real Hilbert space
with inner product
. Let
, and let
be the linear span of
over
. For
, let
. Then, which of the following is/are TRUE?Your answerSelect all correct options. You can choose more than one.
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