AnswersPrecalculusDistance and Midpoints in the Complex Plane

Completing The Square Answers

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A circle has a center at 4 – 5i and a point on the circle at 19 – 13i. Which of the following points is also on the circle?

A
–11 –3i
B
–4.5 +3.5i
C
12 + 10i
D
21 + 12i
2
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What is the midpoint of a segment in the complex plane with endpoints at 3 – 2i and 17 – 8i?

A
StartFraction 1 over 2 EndFraction + StartFraction 9 over 2 EndFraction i
Option A
B
7 – 3i
C
10 – 5i
D
20 – 10i
3

A segment in the complex plane has a midpoint at 3 – 2i. If one endpoint of the segment is at 7 + i, what is the other endpoint?

A
–1 – 5i
B
5 – 0.5i
C
10 – i
D
11 + 4i

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