# Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 12 - 17 of 71

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## Question 12

Appeared in Year: *2015*

### Question

MCQ▾A Vector . Which of the following statements is TRUE?

### Choices

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

a. | is neither solenoidal nor irrotational | |

b. | is both solenoidal and irrotational | |

c. | is solenoidal, but not irrotational | |

d. | is irrotational, but not solenoidal, |

## Question 13

Appeared in Year: *2015*

### Question

MCQ▾The solution of the differential equation with is

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 14

## Question 15

Appeared in Year: *2015*

### Question

MCQ▾Suppose A and B are two independent events with probabilities and . Let and be their complements. Which one of the following statements is false?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 16

Appeared in Year: *2015*

### Question

Numeric Answer▾Consider a system of linear equations:

The value of k for which the system has infinitely many solutions is …

## Question 17

Appeared in Year: *2016*

### Question

MCQ▾The current density in a medium is given by:

The total current and the average current density flowing through the portion of a spherical surface are given, respectively, by

### Choices

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

a. | ||

b. | ||

c. | ||

d. |