GATE XE 2025 Paper 1 — page 7

Questions 19–21 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 7 of 59

Consider the function

Then which one of the following statements is correct?

Your answerChoose one option.

is a point of local maxima of

is a point of local minima of

is a point of local maxima of

is a saddle point of

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For

, consider the system of linear equations

If the system has infinitely many solutions, then which of the following statements is/are correct?

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

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Let

be the solution of the initial boundary value problem

Then the value of

is equal to (rounded off to two decimal places)

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2025 · Paper 1