Worksheet: Modulus of a Complex Number
In this worksheet, we will practice using the general formula for calculating the modulus of a complex number.
Q7:
Given that , find .
- A
- B
- C
- D
- E
Q10:
Given that , determine .
Q12:
If , where is a complex number, what is ?
Q13:
Given that , where and , write in algebraic form and hence find .
- A,
- B,
- C,
- D,
Q14:
Given that , where and , write in algebraic form and hence find .
- A,
- B,
- C,
- D,
Q15:
Given the complex number , what is the modulus of ?
- A
- B
- C
- D
- E
Q17:
Consider the complex numbers and . Given that and , which of the following is a possible value for ?
- A
- B
- C
- D
- E
Q18:
If and , what is ?
- A13
- B85
- C
- D145
- E
Q19:
What does the modulus of a complex number represent?
- Aits real coordinate in the complex plane
- Bthe angle it makes with the positive imaginary axis
- Cits imaginary coordinate in the complex plane
- Dthe angle it makes with the positive real axis
- Eits distance from the origin in the complex plane
Q20:
Given that , determine the real part of the complex number .
- A6
- B
- C3
- D
Q22:
Consider the complex numbers and .
Find and .
- A,
- B,
- C,
- D,
- E,
Calculate . How does this compare with ?
- A,
- B,
- C,
- D,
- E,
Calculate . How does this compare with ?
- A,
- B,
- C,
- D,
- E,
Q23:
Consider the two complex numbers and .
Calculate to two decimal places.
Calculate to two decimal places.
Which of the following relations do and satisfy?
- A
- B
- C
- D
- E
Q24:
If , where is a complex number, what is ?
Q25:
What is the general form for the modulus of a complex number , where and and are real numbers?
- A
- B
- C
- D
- E