57. A circle in the standard (x, y) coordinate plane intersects the x-axis at (-7, 0) and (1, 0). The radius of the circle is 5 coordinate units. Which of the following could be the center of the circle?

I. (-3,-3)

II. (-3, 0)

III. (-3, 3)

Answer and Explanation

Your Answer is

Correct Answer is D

Explanation

The distance from (-3, 0) to the point is four, which does not meet the requirements of the topic, so it is excluded. According to the Pythagorean theorem, it is found that the distances from the remaining two points to (-7, 0) and (1, 0) are both five. Choose D.