Question

A circle has a diameter with endpoints at -2+I and -6-11i. What is the center of the circle

Answer 1

B.) -4 - 5i

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Here is how I found my answer !

-To find a midpoint between 2 complex numbers is to determine the average

1.) Add the two end points

(-2 + i) + (-6 - 11i)

2.) Divide it all by 2

(-2 + i) + (-6 - 11i) / 2

3.) Numerator should end up with -8 - 10i

-8 - 10i / 2

4.) Finish dividing

Answer is : -4 - 5i

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Hope this gives a better understanding of how to solve it !! :D

Answer 2

so hmm, using those on the a+bi values on the x-axis and imaginary axis




the middle point of the diameter chord, is of course, the center of the circle