# Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 44 - 50 of 71

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## Question 44

Appeared in Year: *2015*

### Question

Numeric Answer▾If C denotes the counter clockwise unit circle, the value of the contour integral is …

## Question 45

Appeared in Year: *2017*

### Question

MCQ▾An integral over a counter clock wise circle C is given by

If C is defined as , then the value of is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 46

Appeared in Year: *2015*

### Question

MCQ▾The general solution of the differential equation

### Choices

Choice (4) | Response | |
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c. | ||

d. |

## Question 47

Appeared in Year: *2015*

### Question

Numeric Answer▾A vector field exists inside a cylindrical region enclosed by the surfaces and Let S be the surface bounding this cylindrical region. The surface integral of this field on is …

## Question 48

Appeared in Year: *2019*

### Question

Numeric Answer▾If X and Y are random variables such that and , the ________. (Carry One Mark Each)

## Question 49

Appeared in Year: *2017*

### Question

MCQ▾Which one of the following is the general solution of the first order differential equation

Where x, y are real?

### Choices

Choice (4) | Response | |
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b. | ||

c. | ||

d. |

## Question 50

Appeared in Year: *2019*

### Question

Numeric Answer▾Let be an exponential random variable with mean . That is, the cumulative distribution function of is given by

The , rounded off to two decimal places, is equal to ________.

(Carry One Mark Each)