Lesson Worksheet: Argand Diagram Mathematics • 12th Grade
In this worksheet, we will practice identifying complex numbers plotted on an Argand diagram and discovering their geometric properties.
Q2:
Seven complex numbers , , , , , , and are represented on the Argand diagram.
Which of the complex numbers is ?
- A
- B
- C
- D
- E
What complex number is represented by ?
- A
- B
- C
- D
- E
Which complex number has equal real and imaginary parts?
- A
- B
- C
- D
- E
Which two complex numbers are a conjugate pair? What is their geometric relationship?
- A and are a conjugate pair; they are related by a rotation about the origin of radians.
- B and are a conjugate pair; they are related by reflection in the real axis (-axis).
- CNone of the complex numbers are a conjugate pair.
- D and are a conjugate pair; they are related by reflection in the imaginary axis (-axis).
- E and are a conjugate pair; they are related by reflection in the real axis (-axis).
Q4:
Using the Argand diagram shown, find the value of .
- A
- B
- C
- D
- E
Q7:
What is the geometric relationship between the points representing a conjugate pair of complex numbers on an Argand diagram?
- AThey both lie on the imaginary axis.
- BThey are reflections of each other in the real axis.
- CThey are rotations of each other of radians counterclockwise about the origin.
- DThey both lie on the real axis.
- EThey are reflections of each other in the imaginary axis.
Q8:
Using the Argand diagram below, find the value of .
- A
- B
- C
- D
- E
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