**Q1: **

In which quadrant of the Argand diagram does the complex number lie?

- A second
- B third
- C first
- D fourth

**Q2: **

If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.

- A
- B
- C
- D

**Q3: **

If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.

- A
- B
- C
- D

**Q4: **

If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.

- A
- B
- C
- D

**Q5: **

- A
- B
- C
- D

**Q6: **

What does the modulus of a complex number represent?

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

**Q7: **

Given that the complex number is represented by the point on the Argand diagram below, find .

- A
- B
- C
- D
- E

**Q8: **

Given that the complex number is represented by the point on the Argand diagram below, find .

- A
- B
- C
- D
- E

**Q9: **

Given that the complex number is represented by the point on the Argand diagram below, find .

- A
- B
- C
- D
- E

**Q10: **

Given that the complex number is represented by the point on the Argand diagram below, find .

- A
- B
- C
- D
- E

**Q11: **

Given that , find .

- A
- B
- C
- D
- E

**Q12: **

Given that , find .

- A
- B
- C
- D
- E

**Q13: **

Given that , find .

- A
- B
- C
- D
- E

**Q14: **

Given that , determine the real part of the complex number .

- A6
- B3
- C
- D

**Q15: **

What complex number lies at the midpoint of and on the given complex plane?

- A
- B
- C
- D
- E

**Q16: **

The Argand diagram shows the complex numbers , , , and . Which of these numbers is ?

- A
- B
- C
- D

**Q17: **

Let us consider a complex number, , with nonzero real and imaginary parts.

If the real and imaginary parts of are of the same sign, in which quadrant(s) of the Argand diagram could appear?

- A1st or 2nd
- B2nd or 4th
- C3rd or 4th
- D1st or 3rd
- E1st or 4th

If the real and imaginary parts of are of opposite signs, in which quadrant(s) of the Argand diagram could appear?

- A2nd or 4th
- B3rd or 4th
- C1st or 2nd
- D1st or 3rd
- E1st or 4th