GATE MA 2019 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

(the set of all complex numbers) be defined by

Let

denote the derivative of

with respect to

. Then which one of the following statements is TRUE?

Your answerChoose one option.

exists and

is analytic at the origin

is not differentiable at

is differentiable at

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The partial differential equation

Your answerChoose one option.

parabolic in the region

hyperbolic in the region

elliptic in the region

hyperbolic in the region

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then which one of the following statements is TRUE?

Your answerChoose one option.

Both the sequence

and the series

are convergent

Both the sequence

and the series

are divergent

The sequence

is convergent but the series

is divergent

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2019 · Paper 1