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Worksheet: Finding the Modulus of a Complex Number
Q1:
What is the modulus of the complex number ?
Q2:
Given that , find .
- A
- B
- C3
- D
- E
Q3:
What is the modulus of the complex number ?
- A10
- B1
- C
- D
- E3
Q4:
What is the modulus of the complex number ?
- A58
- B7
- C
- D
- E3
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 .
- A2
- B
- C
- D
- E
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 ?
- A2
- B1
- C
- D0
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
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