Complex Functions - Engineering Mathematics

Practice questions from Complex Functions.

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Q#1 Complex Functions GATE EC 2025 (Set 1) MSQ +2 marks -0 marks

Which of the following statements involving contour integrals (evaluated counterclockwise) on the unit circle C in the complex plane is/are TRUE?

, where is an even integer

Q#2 Complex Functions GATE EC 2024 (Set 1) MCQ +2 marks -0.66 marks

Let z be a complex variable. If and C is the circle in the complex plane with __________.

Q#3 Complex Functions GATE EC 2023 (Set 1) MCQ +1 mark -0.33 marks

Let . Which of the following cannot be a value of ?

Q#4 Complex Functions GATE EC 2023 (Set 1) MCQ +1 mark -0.33 marks

The value of the contour integral,

, where the contour is

, taken in the counter clockwise direction, is