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

distance^2 between points(=radius^2)
= (19-4)^2 + (-13-(-5))^2 = 15^2 + 8^2
= 289
compare with distance^2 in each choice to center
12 + 10i is correct (equal distance)

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jainveenamrata jainveenamrata · Answer 2 · 2022-05-14T08:00:14+02:00

If a circle has a center at 4 – 5i and a point on the circle at 19 – 13i. Then the other point will be (12 + 10i). Then the correct option is C.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circle has a center at 4 – 5i and a point on the circle at 19 – 13i.

Then the other coordinate on the circle is given as

The distance between the center and a point on a circle will be

D = (19 - 4)² + (-13 + 5)²

D = 15² + (-8)²

D = 225 + 64

D = 289

Then the other point of the circle will be

D = (12 - 4)² + (10 + 5)²

D = 8² + 15²

D = 64 + 225

D = 289

Then the other point will be (12 + 10i).

More about the circle link is given below.

https://brainly.com/question/11833983

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