GATE MA 2021 Paper 1 — page 5

Questions 13–15 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 5 of 22

Let

, be the Möbius transformation which maps the points

in the

-plane onto the points

in the

-plane, respectively. Then the image of the set

under the map

Your answerChoose one option.

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Let

be the row reduced echelon form of a

real matrix

and let the third column of

. Consider the following statements:

P: If

is a solution of

, then

Q: For all

Then

Your answerChoose one option.

both P and Q are TRUE

P is TRUE and Q is FALSE

P is FALSE and Q is TRUE

both P and Q are FALSE

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The eigenvalues of the boundary value problem

are given by

Your answerChoose one option.

, where

are the roots of

, where

are the roots of

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2021 · Paper 1