Specialist Maths Complex Numbers Week 2

Properties of Conjugates

Example 10 Ex 2B1

Solution 10

Mathematical Induction

Example 11 (Ex 2B2)

Solution 11

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

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

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

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

Modulus of a Complex Number

Example 13 (Ex 2C3)

Solution 13

Properties of Modulus

Example 14 (Ex 2C3)

Solution 14

Solution 14 Continued

Example 15 (Ex 2C3)

Solution 15

Distance between 2 points on Argand Plane Q O

Mid Point of a line segment in the Argand Plane Q O

Example 16 (Ex 2C4)

Solution 16

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