Test: Complex Variables


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15 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: Complex Variables

Test: Complex Variables for Electronics and Communication Engineering (ECE) 2022 is part of GATE Electrical Engineering (EE) 2023 Mock Test Series preparation. The Test: Complex Variables questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Complex Variables MCQs are made for Electronics and Communication Engineering (ECE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Complex Variables below.
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Test: Complex Variables - Question 1

The integration of f (z) = x2 + ixy from A(1, 1) to B(2, 4) along the straight line AB joining the two points is

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x = at + b, y = ct + d

Test: Complex Variables - Question 2

​ ​ ​

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We know by the derivative of an analytic function that

Test: Complex Variables - Question 3

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Test: Complex Variables - Question 4

  where c is the upper half of the circle z = 1

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Given contour c is the circle |z| = 1

Test: Complex Variables - Question 5

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Let f (z) = cosπz then f(z) is analytic within and on |z| =3, now by Cauchy’s integral formula

Test: Complex Variables - Question 6

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Test: Complex Variables - Question 7

The value of    around a rectangle with vertices at   is

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Test: Complex Variables - Question 8

  where c is the circle x2 + y2 = 4

Que: The value of f(3) is

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Test: Complex Variables - Question 9

  where c is the circle x2 + y2 = 4

Que: The value of f' (1 - i) is

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The point (1 - i) lies within circle |z| = 2 ( ... the distance of 1 - i i.e., (1, 1) from the origin is √2 which is less than 2, the radius of the circle).

Let Ø(z) = 3z2 + 7z + 1 then by Cauchy’s integral formula

Test: Complex Variables - Question 10

Expand the given function in Taylor’s series.

Que: 

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Test: Complex Variables - Question 11

Expand the given function in Taylor’s series

Que: 

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Test: Complex Variables - Question 12

Expand the given function in Taylor’s series.

Que: 

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Test: Complex Variables - Question 13

If |z + 1|  < 1, then z-2 is equal to

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Test: Complex Variables - Question 14

Expand the function   in Laurent’s series for the condition given in question.

Que: 1 < |z| < 2

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Test: Complex Variables - Question 15

Expand the function   in Laurent’s series for the condition given in question.

Que: |z| > 2 

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