Lesson Worksheet: Modulus of a Complex Number Mathematics
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
Q12:
Given that , where and , write in algebraic form and hence find .
- A,
- B,
- C,
- D,
Q13:
Given that , where and , write in algebraic form and hence find .
- A,
- B,
- C,
- D,
Q14:
Given the complex number , what is the modulus of ?
- A
- B
- C
- D
- E
Q16:
Consider the complex numbers and . Given that and , which of the following is a possible value for ?
- A
- B
- C
- D
- E
Q18:
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
Q19:
Given that , determine the real part of the complex number .
- A6
- B
- C3
- D
Q21:
If , where is a complex number, what is ?
Q22:
What is the general form for the modulus of a complex number , where and and are real numbers?
- A
- B
- C
- D
- E
Q23:
Consider the complex number .
Calculate .
- A21
- B
- C
- D
- E
Calculate .
- A
- B
- C
- D21
- E
Determine .
Q24:
Consider the complex numbers and .
Find and .
- A, 17
- B5, 17
- C25, 289
- D5,
- E,
Calculate . How does this compare to ?
- A,
- B85,
- C85,
- D7,225,
- E,
Calculate . How does this compare to ?
- A,
- B,
- C,
- D,
- E,
Q25:
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