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# Complex Analysis mutiple choice questions MCQs with answers

Soultion of Book differential equation Boundary Value Problem &th Editions By DG ZILL

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.

3000+ Mathematics all subject MCQs with their Answeers

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• Vector and tensor analysis mcqs with answers.
• 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. which of the following is entire function

2. $tan^{-1}(1)=$

3. If Z= x+iy then $|sin&space;z|^2$=

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

5. which of the following is a kind of singularity

6. If C is a circle at Zo with radius r then $\int_{C}&space;(Z-Z_0)&space;dz=$

7. Which formula is used for Euler’s Identity

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

9. $i^{n}\times&space;i^{2n}\times&space;i^{3n}\times&space;i^{4n}=&space;\\&space;\forall&space;n&space;\in&space;Z$

10. If Z= x+iy then $|cos&space;z|^2=$

11. Log(i-1)=

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

13. product of four Consecutive multiple powers of i is

14. $Z+\overline{Z}=$

15. $i^{1+n}+i^{2+n}+i^{3+n}+i^{4+n}=?\,\,\,\,&space;\forall&space;n&space;\in&space;Z$

16. $\int_{0}^{\pi}&space;\frac{1}{Z}dz=$

17. Product of four consecutive powers of i is

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

19. $(-i)^i&space;=$

20. 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

21. Every entire bounded function is

22. $e^{log(1+i)}$  =

23. Z is purely real if and only if

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

25. which of the following is analytic

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

27. $Z-\overline{Z}=$

28. If $\int_{C}&space;Z^n&space;dz=0$ then C is

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

30. $(-1)^{2i}&space;=$

31. Piece wise smooth curve is also known as

32. which of the following is entire function

33. Sum of consecutive four powers of i is

34. $tan^{-1}(1)=$

35. $(i)^i=$

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

37. Z is purely imaginary if and only if

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

39. If Z is a complex number thrn log Z

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

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

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

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

44. tan(ArgZ)=

45. $i^{n}+i^{2n}+i^{3n}+i^{4n}=\\&space;\forall&space;n&space;\in&space;Z$

46. Which of the following is not analytic function

47. rcosθ + i sinθ =

48. 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

49. $i^{15}+&space;i^{16}+i^{17}+i^{18}=$

50. Log (i)=

51. $i^{1&space;\times&space;n}&space;+&space;i^{2&space;\times&space;n}&space;+i^{3&space;\times&space;n}&space;+i^{4&space;\times&space;n}=\\&space;\forall&space;n&space;\in&space;Z$

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

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

54. Log i =

55. if Z=rcosθ+irsinθ then cosθ=

56. $i^{16}&space;\times&space;i^{17}&space;\times&space;i^{18}&space;\times&space;i^{19}&space;=$

57. Conjugate of Z= 4+5i

58. $i^{4}+i^{8}+i^{12}+i^{16}=$

59. Modulus of 4+3i is

60. Z= rcosθ+i rsinθ  is known as

61. Product of complex number Z and conjugate is

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