1. Specialist Maths
Complex Numbers
Week 2

2. Properties of Conjugates

3. Example 10 Ex 2B1

4. Solution 10

5. Mathematical Induction

6. Example 11 (Ex 2B2)

7. Solution 11

8. The Argand Plane
Im(z)
z=x+yi y
Re(z) x

9. Example 12 Ex 2C1
Im(z)
Re(z)

10. Solution 12
Im(z) w
z+w z
z-w w -w

11. Representation of the Conjugate.
Im(z)
z=x+yi
Re(z)
z=x-yi

12. Modulus of a Complex Number

13. Example 13 (Ex 2C3)

14. Solution 13

15. Properties of Modulus

16. Example 14 (Ex 2C3)

17. Solution 14

18. Solution 14 Continued

19. Example 15 (Ex 2C3)

20. Solution 15

21. Distance between 2 points on Argand PlaneQ O

22. Mid Point of a line segment in the Argand PlaneQ O

23. Example 16 (Ex 2C4)

24. Solution 16

25. This Week Text book P48 – 57. Ex2B1 Q1-8; Ex2B2 Q1; Ex2C1 Q1,2,3,4;
Ex2C3 Q1abe,2-10;
Ex2C4 Q1-3;