11
AssignmentMultiple Choice

Distance and Midpoints in the Complex Plane

Question 11 • CUSD Advanced Math A (5.0)

Find the distance between the points 6 + 5i and 1 – 2i.

Answer
A
approximately 3.2
B
approximately 7.6
C
approximately 8.6

Explanation

Treat each complex number as a point in the plane: 6 + 5i is (6, 5), and 1 − 2i is (1, −2). The horizontal difference is 6 − 1 = 5, and the vertical difference is 5 − (−2) = 7. By the distance formula, the distance is √(5² + 7²) = √74 ≈ 8.6, so the answer is approximately 8.6.

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