**Q1: **

What is the modulus of the complex number ?

**Q2: **

Given that , find .

- A
- B
- C
- D3
- E

**Q3: **

What is the modulus of the complex number ?

- A
- B3
- C1
- D
- E10

**Q4: **

What is the modulus of the complex number ?

- A
- B3
- C7
- D
- E58

**Q5: **

What is the modulus of the complex number ?

**Q6: **

Given that , find .

- A
- B
- C
- D
- E

**Q7: **

Given that , find .

- A
- B
- C
- D
- E

**Q8: **

Given that , find .

- A
- B
- C
- D
- E

**Q9: **

Given that , determine .

- A
- B
- C
- D

**Q10: **

Consider the complex number .

Find the modulus of .

Find the argument of .

- A
- B
- C
- D
- E2

Hence, use the properties of multiplication of complex numbers in polar form to find the modulus and argument of .

- Amodulus = , argument=
- Bmodulus = , argument =
- Cmodulus = 8, argument =
- Dmodulus = 8, argument =
- Emodulus = , argument =

Hence, find the value of .

**Q11: **

If and , what is the modulus of ?

**Q12: **

Given that , find .

**Q13: **

Given that , determine .

**Q14: **

What is the modulus of the complex number , where and are real?

- A
- B
- C
- D
- E

**Q15: **

If , where is a complex number, what is ?

- A
- B0
- C2
- D1

**Q16: **

Is it true that for all ?

- Ayes
- Bno

**Q17: **

Given that , where and , write in algebraic form and hence find .

- A ,
- B ,
- C ,
- D ,

**Q18: **

Given that , where and , write in algebraic form and hence find .

- A ,
- B ,
- C ,
- D ,

**Q19: **

What is the magnitude of the product of and ?

- A
- B
- C
- D
- E