Complex Numbers – Modulus, Conjugate, Argand Plane

Grade 11 Maths — Complex Numbers – Modulus, Conjugate, Argand Plane: 25 practice questions with instant scoring and explanations.

1. The modulus of z = 3 + 4i is:
2. For z = a + bi, |z| equals:
3. The modulus of z = 5 is:
4. The modulus of z = 3i is:
5. The conjugate of 2 - 5i is:
6. For z = 3 + 4i, |z̄| equals:
7. In the Argand plane, the complex number 3 + 4i is represented as:
8. In the Argand plane, the real axis represents:
9. In the Argand plane, the imaginary axis represents:
10. The argument (or amplitude) of z = 1 + i is:
11. The argument of z = 3 is:
12. The argument of z = 3i is:
13. The argument of z = -3 is:
14. The argument of z = -3i is:
15. For any complex number z, |z|² equals:
16. If |z₁| = 2 and |z₂| = 3, then |z₁·z₂| equals:
17. The modulus of (1 + i)/(1 - i) is:
18. For z = a + bi, the condition z = z̄ means:
19. For z = a + bi, the condition z = -z̄ means:
20. The distance between z₁ = 1 + i and z₂ = 4 + 5i in the Argand plane is:
21. The point (3, 4) in the Argand plane represents the complex number:
22. If |z| = 5 and arg(z) = π/4, then z is approximately:
23. The polar form of z = 1 + i is:
24. For z = 2(cos 60° + i sin 60°), the rectangular form is:
25. The argument of z = -1 - i is: