GATE EC ||MaTHEMATICS|| COMPLEX ANALYSIS ||PYQs (2000-2025)

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Question 1

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


  • cos(z)

  • e1/z 


  •  ln(z)

  • 1/1-z

Question 2

Screenshot-2025-10-09-130445


Screenshot_2025-10-09_130932-removebg-preview


  • 0.5

Question 3

Screenshot-2025-10-09-130408


( GATE 2023 || EC || MCQ ||1 MARK)

  • Screenshot-2025-10-09-130415


  • Screenshot-2025-10-09-130542


  • Screenshot-2025-10-09-130429


  • Screenshot-2025-10-09-130434


Question 4

Screenshot-2025-10-04-150700


  • Screenshot-2025-10-04-151056


  • Screenshot-2025-10-04-150748


  • x

  • 1

Question 5

Screenshot-2025-10-04-150256


  • -2

  • -1

  • 1

  • 2

Question 6

Screenshot-2025-10-04-145659


  • . (i) 2.72, (ii) 0

  • (i) 7.39, (ii) 0


  •  (i) 0, (ii) 2.72

  •  (i) 0, (ii) 7.39


Question 7


Consider the complex valued function f(z) = 2z3 + b|z|3 where z is a complex variable. The value of b for which the function f(z) is analytic is ___

  • 0

Question 8

For f(z) = sin(z) / z², the residue of the pole at z = 0 is ___.

  • 1

Question 9

Screenshot-2025-10-04-144224


  • –136 to –132

Question 10

Screenshot-2025-10-04-143152


  • Screenshot-2025-10-04-143256


  • Screenshot-2025-10-04-143302


  • Screenshot-2025-10-04-143312


  • Screenshot-2025-10-04-143317


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