# Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 6 of 71

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## Question 1

Appeared in Year: *2010*

### Question MCQ▾

A fair coin is tossed independently four times. The probability of the event “the number of time heads shown up is more than the number of times tail shown up” (2 marks)

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 2

Appeared in Year: *2010*

### Question MCQ▾

If then y has a (2 marks)

### Choices

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

a. | minimum at | |

b. | minimum at | |

c. | maximum at | |

d. | maximum at |

## Question 3

Appeared in Year: *2010*

### Question MCQ▾

A function n (x) satisfied the differential equation Where L is constant. The boundary conditions are: and . The solution to this equation is

### Choices

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

a. | ||

b. | ) | |

c. | ) | |

d. | ) |

## Question 4

Appeared in Year: *2010*

### Question MCQ▾

If _{,} then over the path shown in the figure is

### Choices

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

a. | 0 | |

b. | ||

c. | 1 | |

d. |

## Question 5

Appeared in Year: *2019*

### Question MCQ▾

Which one of the following functions is analytic over the entire complex plane?

(Carry One Mark Each)

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 6

Appeared in Year: *2019*

### Question MCQ▾

Consider a differentiable function f (x) on the set of real numbers such that f (-1) = 0 and . Given these conditions, which one of the following inequalities is necessarily true for all ? (Carry One Mark Each)

### Choices

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

a. | ||

b. | ||

c. | ||

d. |