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This printable supports Common Core Mathematics Standard HSN-CN.B.4

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# 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.
1.
Which of the following complex numbers is represented by point A?
1. $6 - 7i$
2. $-7 -7i$
3. $-7 + 6i$
4. $6+6i$
2.
Which of the following complex numbers is represented by point B?
1. $7 - 6i$
2. $-6 + 7i$
3. $-6 - 6i$
4. $-7 - 6i$
3.
Which of the following points represents the complex number $3 - 2i ?$
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 $-5 + 9i ?$
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. $8$
2. $9 + 9i$
3. $-3 + 4i$
4. $-7 -7i$
6.
Which of the following complex numbers is represented by the point C?
1. $sqrt(85) \ (cos49.4° + i sin49.4°)$
2. $7 \ (cos45° + i sin45°)$
3. $sqrt(85) \ (cos40.6° + i sin40.6°)$
4. $6 \ (cos45° + i sin45°)$
7.
Which of the following complex numbers is represented by the point J?
1. $8 \ (cos180° + i sin180°)$
2. $8 \ (cos0° + i sin0° )$
3. $64 \ (cos(180° + i sin180°)$
4. $-8 \ (cos0° + i sin0°)$
8.
Which of the following points represents the complex number $sqrt(106) \ ( \ cos(-119.1°) + i sin(-119.1°) \ ) ?$
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 $5 \ (cos126.9° + i sin126.9°) ?$
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. $8 \ [ \ cos(-90°) + i sin(-90°) \ ]$
2. $9sqrt(2) \ [ \ cos(45°) + i sin(45°) \ ]$
3. $sqrt(13) \ [ \ cos(-33.7°) + isin(-33.7°) \ ]$
4. $4sqrt(5) \ [ \ cos(-46.6°) + isin(-46.6°) \ ]$
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