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Answer: The center of the circle is 3+7i

Explanation: Let z1 and z1 be the two end points and c be the center to be determined. The center lies half of the difference between z1 and z1, measured from z1:

[tex]z_1=-12-i\\z_2=18+15i\\c=z_1+\frac{z_2-z_1}{2}=-12-i +15+8i=3+7i[/tex]

The center of the circle is 3+7i.

  • The calculation is as follows:

Let us assume z1 and z2 be the two end points.

z1 = -21 - i

And,

z2 = 18 + 15i

Now

[tex]c = z1 + (z2 - z1)\div 2 \\\\[/tex]

= -12 + i + 15 + 18i

= 3 +7i

Therefore we can conclude that The center of the circle is 3+7i.

Learn more: brainly.com/question/17429689