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Worksheet: Representing Complex Numbers Using Argand Diagrams
Q1:
What complex number lies at the midpoint of and on the given complex plane?
- A
- B
- C
- D
- E
Q2:
Describe the geometric transformation that maps every complex number to its conjugate .
- Areflection in the line
- Breflection in the imaginary axis
- Creflection in the line
- Dreflection in the real axis
- Erotation by about the origin
Q3:
In what quadrant does lie?
- Athe second quadrant
- Bthe first quadrant
- Cthe fourth quadrant
- Dthe third quadrant
Q4:
Find the value of given on the Argand diagram below.
- A
- B
- C
- D
Q5:
Find the value of given on the Argand diagram below.
- A
- B
- C
- D
Q6:
Find the value of given on the Argand diagram below.
- A
- B
- C
- D
Q9:
Find the value of given on the Argand diagram below.
- A
- B
- C
- D
Q10:
If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.
- A
- B
- C
- D
Q11:
If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.
- A
- B
- C
- D
Q12:
If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.
- A
- B
- C
- D
Q13:
Describe the geometric transformation that occurs when numbers in the complex plane are mapped to their sum with .
- Aa translation by
- Ba translation by
- Ca translation by
- Da translation by
- Ea translation by
Q14:
Using the Argand diagram shown, find the value of .
Q15:
The numbers in the complex plane are mapped to their product with a particular complex number . Given that this transforms the complex plane by a dilation with center the origin followed by a rotation by radians about the origin, what kind of number is ?
- Aa positive imaginary number
- Ba positive real number
- Ca negative imaginary number
- Da negative real number