**Q1: **

A complex number is multiplied by another complex number , and then by the complex conjugate . How is the argument of the original complex number affected?

- AIt is increased by twice the argument of .
- BIt is increased by twice the argument of .
- CIt is increased by .
- DIt is unchanged.
- EIt is increased by the argument of .

**Q2: **

Consider the complex number .

Find the argument of .

- A
- B
- C7
- D
- E

Hence, find the argument of .

- A
- B
- C
- D
- E

**Q3: **

Given that principal argument , determine principal argument .

- A
- B
- C
- D
- E

**Q4: **

Given that principal argument of and principal argument of , determine the principal argument of .

- A
- B
- C
- D

**Q5: **

What is the argument of the complex number , where and ?

- A
- B
- C
- D
- E

**Q6: **

Given that the principal argument of and the principal argument of , determine the principal argument of .

- A
- B
- C
- D
- E

**Q7: **

Find the argument of the complex number in radians. Give your answer correct to two decimal places.

- A0.67
- B 0.54
- C0.93
- D 0.64
- E0.89

**Q8: **

What does the argument of a complex number represent?

- A the angle it makes with the positive imaginary axis
- B its distance from the origin in the complex plane
- C its real coordinate in the complex plane
- D the angle it makes with the positive real axis
- E its imaginary coordinate in the complex plane

**Q9: **

Given a complex number , where the principal argument of is , determine the principal argument of .

- A
- B
- C
- D

**Q10: **

Find the argument of the complex number in radians. Give your answer correct to two decimal places.

- A
- B0.27
- C
- D
- E1.3

**Q11: **

What is the argument of the complex number , where ?

- A
- B
- C
- D
- E

**Q12: **

What is the argument of the complex number ?

- A
- B
- C
- D
- E