Distance and Midpoints in the Complex Plane Answers

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?

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

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?

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?

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

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?

What is the midpoint of a segment in the complex plane with endpoints at 3 – 2i and 17 – 8i?

Joelle was asked to find the missing endpoint of a segment when given an endpoint of –6 +3i and a midpoint of –13 + i. Her work is shown below.Her mistake was

What is the modulus of 2 – 3i?

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?