GATE MA 2025 Paper 1 — page 9

Questions 25–27 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 9 of 22

Consider the following regions:

Then, which of the following is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

The maximum value of

is 3 on the region

The maximum value of

is 5 on the region

The maximum value of

is 3 on the region

The maximum value of

is 4 on the region

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Let

be a function defined by

Consider the following three statements:

S1:

exists.

S2:

exists.

S3:

exists.

Then, which of the following is/are correct?

Your answerSelect all correct options. You can choose more than one.

S2 and S3 are TRUE and S1 is FALSE

S1 and S2 are TRUE and S3 is FALSE

S1 and S3 are TRUE and S2 is FALSE

S1, S2 and S3 all are TRUE

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Let

be a

matrix with entries in

and having the characteristic polynomial

Let

, where

is the

identity matrix. If

is the minimal polynomial of

, then

is equal to _____ (in integer)

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2025 · Paper 1