Complex Numbers – Basics, Algebra of Complex Numbers

Grade 11 Maths — Complex Numbers – Basics, Algebra of Complex Numbers: 25 practice questions with instant scoring and explanations.

1. A complex number is of the form:
2. In the complex number 3 + 4i, the real part is:
3. In the complex number 3 + 4i, the imaginary part is:
4. i² equals:
5. i³ equals:
6. i⁴ equals:
7. Add the complex numbers (2 + 3i) + (4 + 5i):
8. Subtract (5 + 2i) - (3 + 1i):
9. Multiply (2 + 3i)(4 + 5i):
10. The conjugate of 3 + 4i is:
11. If z = 3 + 4i, then z·z̄ equals:
12. Divide (6 + 3i) by (1 + i):
13. Two complex numbers a + bi and c + di are equal if:
14. The complex number 5 has real part and imaginary part:
15. The complex number 3i has real part and imaginary part:
16. Multiply (3 + 2i)(3 - 2i):
17. (1 + i)² equals:
18. If i^n = 1, then n could be:
19. The sum (2 + 3i) + (2 - 3i) equals:
20. For z = 2 - 5i, what is z + z̄?
21. For z = 2 - 5i, what is z - z̄?
22. The real part of (1 + i)³ is:
23. i⁵ equals:
24. i⁶ equals:
25. i⁷ equals: