GATE MA 2019 Paper 1 — page 19

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 19 of 22

Let

be the region in the

-plane bounded by the curves

and

Then the value of the integral

is equal to ______.

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Let

be the vector space of all

matrices with complex entries over the real field. If

then the dimension of

is equal to ______. (

denotes the conjugate transpose of

)

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The number of elements of order 15 in the additive group

is ______. (

denotes the group of integers modulo

, under the operation of addition modulo

, for any positive integer

)

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2019 · Paper 1