Distance and Midpoints in the Complex Plane

Question 1

What is the distance between 1 + 3i and 2 – 4i in the complex plane?

Revolt · Accepted Answer

5 start root 2 end root

Question 2

A complex point of the form a + 3i has a distance of 29 units from –9 + 24i. What is the value of a?

Revolt · Accepted Answer

11

Question 3

A circle has a diameter with endpoints at 3 – 5i and –8 + 2i. What is the center of the circle?

Revolt · Accepted Answer

StartFraction negative 5 over 2 EndFraction minus StartFraction 3 over 2 EndFraction i

Question 4

What is the length of the radius of a circle with a center at 2 – i and a point on the circle at 8 + 7i?

Revolt · Accepted Answer

10

Question 5

A circle has center at –6 + 2i and a point on the circle at 4 + 26i. Which of the following points is also on the circle?

Revolt · Accepted Answer

–16 – 22i

Question 6

What is the length of the radius of a circle with a center at 2 + 3i and a point on the circle at 7 + 2i?

Revolt · Accepted Answer

start root 26 end root

Question 7

What is the length of the radius of a circle with a center at the origin and a point on the circle at 8 + 15i?

Revolt · Accepted Answer

17

Question 8

A circle has a diameter with endpoints at 15 + 25i and –25 – 17i. Which point is also on the circle?

Revolt · Accepted Answer

16 + 24i

Question 9

A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?

Revolt · Accepted Answer

3 + 9i

Question 10

A circle has a diameter with endpoints at –3 + 18i and 7 – 6i. Which point is also on the circle?

Revolt · Accepted Answer

14 + 11i

Distance and Midpoints in the Complex Plane Answers