12
QuizMultiple Choice

Powers and Roots of Complex Numbers — Unit test

Question 12 • Precalculus

What is the midpoint of a segment in the complex plane with endpoints at 6 – 2i and –4 + 6i?

Answer
A
1 + 2i
B
2 + i
C
2 + 4i
D
5 + 4i

Explanation

The midpoint is found by averaging the real parts and the imaginary parts separately. The real part is (6 + (−4))/2 = 1, and the imaginary part is (−2 + 6)/2 = 2, so the midpoint is 1 + 2i, choice A.

AI-written and checked against the verified answer.

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