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