Complex Numbers MCQ Test: Complex Numbers MCQs - Practice Questions
1. Calculate the product of the complex numbers (2 - i) and (3 + 4i).
2. Find the product of the complex numbers '1 + 2i' and '3 - i'.
3. What is the magnitude of the complex number '5 + 12i'?
4. Calculate the product of the complex numbers (2 + 3i) and (1 + 4i).
5. Calculate the magnitude of the complex number '7 - 24i'.
6. Solve the equation 'z^3 = -8' for complex 'z'.
7. What is the phase angle of the complex number '3 + 4i'?
8. Determine the argument of the complex number '2 + i'.
9. Find the square of the complex number '3 - 2i'.
10. If z = 4 - 3i, what is the imaginary part of z?
11. Calculate the product of the complex numbers (2 + i) and (3 - 4i).
12. Determine the roots of the equation 'z^3 = 8' for complex 'z'.
13. Calculate the cube of the complex number '2 - i'.
14. What is the polar form of the complex number '4 - 3i'?
15. Express the complex number '4(cos 60° + i sin 60°)' in rectangular form.
16. Express the complex number '1 + i' in exponential form.
17. If z = 3 + 4i, what is the imaginary part of z?
18. Solve the equation 'z^4 = 1' for complex 'z'.
19. What is the argument of the complex number '8(cos 30° + i sin 30°)'?
20. If z = 2 + 3i, what is the real part of z?
21. If z = -2 + i, what is the real part of z?
22. If z = -3 + 4i, what is the real part of z?
23. What is the magnitude of the complex number '9 - 12i'?
24. Express the complex number '-3 - 4i' in polar form.
25. If z = -5 - 12i, what is the imaginary part of z?
26. Find the square root of the complex number '16(cos 45° + i sin 45°)'
27. What is the argument of the complex number '12(cos 120° + i sin 120°)'?
28. What is the real part of the complex number '7 - 2i'?
29. If z = 3 - 4i, what is the magnitude of z?
30. What is the value of 'sinh(iπ/4)'?
31. Simplify the expression 'i^3'.
32. What is the argument of the complex number '10(cos 150° + i sin 150°)'?
33. Express the complex number '2 + 2i' in polar form.
34. What is the argument of the complex number '6(cos 45° + i sin 45°)'?
35. If z = -5 + 12i, what is the argument of z?
36. Determine the principal value of arccos(-1).
37. Express the complex number '3 + 4i' in polar form.
38. What is the conjugate of the complex number '3 + 7i'?
39. What is the magnitude of the complex number '9 + 12i'?
40. What is the product of the complex numbers (3 + 2i) and (1 - 4i)?
41. Solve the equation 'z^2 + 1 = 0' for complex 'z'.
42. What is the real part of the complex number '7 + 2i'?
43. Simplify the expression 'i^4'.
44. Find the square of the complex number '2 + 5i'.
45. What is the polar form of the complex number '8 - 15i'?
46. Calculate the value of 'cot(-iπ/4)'.
47. Find the solution to the equation 'e^(ix) = -1'.
48. Find the roots of the equation 'z^4 + 1 = 0' for complex 'z'.
49. If z = -4 - 3i, what is the magnitude of z?
50. Solve the equation 'z^2 - 4 = 0' for complex 'z'.