Complex Analysis mutiple choice questions MCQs with answers

complex analysis mcqs with answers

Complex Analysis multiple choice questions MCQs consist of multiple choice questions. In these multiple choice questions, there are 61 questions. All the MCQs are very important according to every competitive examination point of view. Attempt these multiple choice questions check your answers after submitting your attempts. You can also download these complex analysis multiple choice questions with answers.

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Lecturer Past Paper 2011 With full solutions

In the past paper, there are 100 multiple choice questions. Some part of complex analysis multiple choice questions MCQs is also present. You can attempt these MCQs and match your answers with correct multiple choice questions answers. I hope you will enjoy your test.

Complex analysis multiple choice questions with answers

Complex Analysis MCQs

1. Let f(Z) be analytic in a simply connected domain D in a closed continuous curve then \int_{C}f(Z)dz=0 is the statement of

 
 
 
 

2. which of the following is entire function

 
 
 
 

3. tan(ArgZ)=

 
 
 
 

4. (-i)^i =

 
 
 
 

5. If \int_{C} Z^n dz=0 then C is

 
 
 
 

6. If a function is not analytic at Z=a then Z=a is known as

 
 
 
 

7. e^{-\pi/4}+i\frac{log2}{2}=

 
 
 
 

8. i^{1 \times n} + i^{2 \times n} +i^{3 \times n} +i^{4 \times n}=\\ \forall n \in Z

 
 
 
 

9. A function is analytic if it is a function of

 
 
 
 

10. A part of many complex valued function which is single valued and analytic is known as

 
 
 
 

11. e^{log(1+i)}  =

 
 
 
 

12. Product of four consecutive powers of i is

 
 
 
 

13. Z-\overline{Z}=

 
 
 
 

14. Log i =

 
 
 
 

15. cos(lna)+ isin(lna)=      ?            for all a>0 then

 
 
 
 

16. If Z= a + ib then Im(Z)=

 
 
 
 

17. A curve which is simple as well as closed is known as

 
 
 
 

18. i^{15}+ i^{16}+i^{17}+i^{18}=

 
 
 
 

19. A function which is analytic everywhere in a complex plane is known as

 
 
 
 

20. Every entire bounded function is

 
 
 
 

21. Z+\overline{Z}=

 
 
 
 

22. Which of the following is not analytic function

 
 
 
 

23. A Curve traced by complex valued function x=f(z) s.t f(z1)≠f(z2) for z1≠z2 then curve is known as

 
 
 
 

24. If Z is a complex number thrn log Z

 
 
 
 

25. \int_{0}^{\pi} \frac{1}{Z}dz=

 
 
 
 

26. i^{1+n}+i^{2+n}+i^{3+n}+i^{4+n}=?\,\,\,\, \forall n \in Z

 
 
 
 

27. Which formula is used for Euler’s Identity

 
 
 
 

28. If C is a circle at Zo with radius r then \int_{C} (Z-Z_0)^{-1}dz=

 
 
 
 

29. If Z= a+ib then Re(Z)=

 
 
 
 

30. i^{n}\times i^{2n}\times i^{3n}\times i^{4n}= \\ \forall n \in Z

 
 
 
 

31. If C is a circle at Zo with radius r then \int_{C} (Z-Z_0) dz=

 
 
 
 

32. if Z=rcosθ+irsinθ then cosθ=

 
 
 
 

33. which of the following is a kind of singularity

 
 
 
 

34. A function which has poles as its only singularities in the finite part of the plane is known as

 
 
 
 

35. Log (i)=

 
 
 
 

36. Log(i-1)=

 
 
 
 

37. Conjugate of Z= 4+5i

 
 
 
 

38. Modulus of 4+3i is

 
 
 
 

39. which of the following is entire function

 
 
 
 

40. If Z= x+iy then |sin z|^2=

 
 
 
 

41. Let f(Z) be a complex valued function defined on a domain D s.t a ε D . If f(a)=0  then Z=a is known as

 
 
 
 

42. Sum of consecutive four powers of i is

 
 
 
 

43. product of four Consecutive multiple powers of i is

 
 
 
 

44. Z is purely real if and only if

 
 
 
 

45. Z= rcosθ+i rsinθ  is known as

 
 
 
 

46. i^{4}+i^{8}+i^{12}+i^{16}=

 
 
 
 

47. tan^{-1}(1)=

 
 
 
 

48. Z is purely imaginary if and only if

 
 
 
 

49. tan^{-1}(1)=

 
 
 
 

50. which of the following is analytic

 
 
 
 

51. rcosθ + i sinθ =

 
 
 
 

52. Piece wise smooth curve is also known as

 
 
 
 

53. i^{n}+i^{2n}+i^{3n}+i^{4n}=\\ \forall n \in Z

 
 
 
 

54. Sum of four consecutive four multiple  powers of i is

 
 
 
 

55. If C is a straight line from Z= -i to Z=i then \int_{C}|Z|dz=

 
 
 
 

56. If Z= x+iy then |cos z|^2=

 
 
 
 

57. (-1)^{2i} =

 
 
 
 

58. Product of complex number Z and conjugate is

 
 
 
 

59. If C is a circle with |Z|= 2 then \int_{C}\frac{dz}{z^2-1}=

 
 
 
 

60. i^{16} \times i^{17} \times i^{18} \times i^{19} =

 
 
 
 

61. (i)^i=

 
 
 
 




Vector and tensor analysis mcqs with answers

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