9
QuizMultiple Choice

Finding Distance in the Coordinate Plane

Question 9 • Pre-Algebra - MA3119 B-CR

Each point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6, 3). Which point on the y-axis could be on the edge of the circle if the distance from the center of the circle to the edge is 10 units?

Answer
A
(0, –1)
B
(0, 1)
C
(0, 5)
D
(0, –5)

Explanation

A point on the circle must be 10 units from the center (6, 3). For a point on the y-axis, the x-coordinate is 0, so the horizontal distance from the center is 6 units. The vertical distance must therefore be 8 units, since 6² + 8² = 10². The point with y-coordinate 3 − 8 = −5 is (0, −5), choice D.

AI-written and checked against the verified answer.

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