# Signals and Systems [GATE (Graduate Aptitude Test in Engineering) Electrical Engineering]: Questions 18 - 22 of 24

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## Question 18

Appeared in Year: *2012*

### Question

MCQ▾Consider the differential equation

With and

The numerical value of is

### Choices

Choice (4) | Response | |
---|---|---|

a. | 1 | |

b. | -1 | |

c. | -2 | |

d. | 0 |

## Question 19

Appeared in Year: *2021*

### Question

MCQ▾The causal signal with z-transform is: (u [n] is the unit step signal) .

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 20

Appeared in Year: *2020*

### Question

MCQ▾A stable real linear time-invariant system with single pole at p, has a transfer function with a dc gain of 5. The smallest positive frequency, in rad/s, at unity gain is closest to:

### Choices

Choice (4) | Response | |
---|---|---|

a. | 11.08 | |

b. | 122.87 | |

c. | 8.84 | |

d. | 78.13 |

## Question 21

Appeared in Year: *2020*

### Question

MCQ▾Which of the following options is true for a LTI discrete time system that obeys the difference equation

### Choices

Choice (4) | Response | |
---|---|---|

a. | y [n] is unaffected by the values of | |

b. | The system impulse response is non-zero at infinite many instant. | |

c. | The system is necessary causal | |

d. | When , the function y [n] ; is solely determined by the function |

## Question 22

Appeared in Year: *2021*

### Question

MCQ▾Let f (t) be an even function, i.e. for all t. Let the Fourier transform of f (t) be defined as . Suppose for all ω, and F (0) = 1. Then

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |