A circle has a diameter with endpoints at 15 + 25i and –25 – 17i. Which point is also on the circle?

The circle’s center is the midpoint of its diameter’s endpoints: ((15 − 25)/2, (25 − 17)/2) = (−5, 4). The diameter has length √(40² + 42²) = 58, so the radius is 29. Choice D, 16 + 24i, is 29 units from the center because √((16 + 5)² + (24 − 4)²) = √841 = 29, so it lies on the circle.

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