The Complex Plane (Grades 11-12)

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The Complex Plane

For the graph below, let x represent the real axis and y the imaginary axis. Refer to this for the following questions.
Coordinate Plane - 10x10 - With Dots
1. 
Which of the following complex numbers is represented by point A?
  1. [math]6 - 7i[/math]
  2. [math]-7 -7i[/math]
  3. [math]-7 + 6i[/math]
  4. [math]6+6i[/math]
2. 
Which of the following complex numbers is represented by point B?
  1. [math]7 - 6i[/math]
  2. [math]-6 + 7i[/math]
  3. [math]-6 - 6i[/math]
  4. [math]-7 - 6i[/math]
3. 
Which of the following points represents the complex number [math]3 - 2i ?[/math]
  1. E
  2. I
  3. A
  4. This number is not represented by any point given.
4. 
Which of the following points represents the complex number [math]-5 + 9i ?[/math]
  1. E
  2. B
  3. L
  4. This number is not represented by any point given.
5. 
Which of the following complex numbers does not have a corresponding point shown on the given graph?
  1. [math]8[/math]
  2. [math]9 + 9i[/math]
  3. [math]-3 + 4i[/math]
  4. [math]-7 -7i[/math]
6. 
Which of the following complex numbers is represented by the point C?
  1. [math]sqrt(85) \ (cos49.4° + i sin49.4°)[/math]
  2. [math]7 \ (cos45° + i sin45°) [/math]
  3. [math]sqrt(85) \ (cos40.6° + i sin40.6°)[/math]
  4. [math]6 \ (cos45° + i sin45°)[/math]
7. 
Which of the following complex numbers is represented by the point J?
  1. [math]8 \ (cos180° + i sin180°)[/math]
  2. [math]8 \ (cos0° + i sin0° )[/math]
  3. [math]64 \ (cos(180° + i sin180°)[/math]
  4. [math]-8 \ (cos0° + i sin0°)[/math]
8. 
Which of the following points represents the complex number [math]sqrt(106) \ ( \ cos(-119.1°) + i sin(-119.1°) \ ) ?[/math]
  1. D
  2. L
  3. J
  4. This number is not represented by any given point.
9. 
Which of the following points represents the complex number [math]5 \ (cos126.9° + i sin126.9°) ?[/math]
  1. A
  2. I
  3. E
  4. This number is not represented by any given point.
10. 
Which of the following complex numbers does not have a corresponding point shown on the given graph?
  1. [math]8 \ [ \ cos(-90°) + i sin(-90°) \ ][/math]
  2. [math] 9sqrt(2) \ [ \ cos(45°) + i sin(45°) \ ] [/math]
  3. [math]sqrt(13) \ [ \ cos(-33.7°) + isin(-33.7°) \ ] [/math]
  4. [math]4sqrt(5) \ [ \ cos(-46.6°) + isin(-46.6°) \ ] [/math]

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