GATE IN 2022 Paper 1 — page 5

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

Paper practice 65 questionsPage 5 of 22

A periodic function

, with period 2, is defined as

The Fourier series of this function contains ______

Your answerChoose one option.

Both cos

and sin

where

Only sin

where

Only cos

where

Only cos

where

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The output of a system

is related to its input

according to the relation

. This system is ______

Your answerChoose one option.

Linear and time-variant

Non-linear and time-invariant

Linear and time-invariant

Non-linear and time-variant

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A unity-gain negative-feedback control system has a loop-gain

given by

The closed-loop system is ______

Your answerChoose one option.

Causal and stable

Causal and unstable

Non-causal and stable

Non-causal and unstable

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2022 · Paper 1