For questions 1 to 6 draw the following on separate Argand diagrams:

1. a = 4 − 3i and b = 3 + 2i

2. k = 4 + 2i and its conjugate 

3. w = -1 − 4i and its conjugate 

4. All of the numbers a + bi where a = 3

5. All of the numbers a + bi where b = -4

6. If d =1 + i draw 2d, 3d, 4d .... on an Argand diagram

7. If z is the complex number z = 2 + i, show on an Argand diagram:

(i) z

(ii) 2z

(iii) z + 2

(iv) iz

8. If z = 2 − 2i and w = 3 − i show graphically on separate Argrand diagrams:

(a) z + w

(b) z − w

9. If w = -3 − 2i show  on an Argrand diagram.