Question

which term best describes the set of all points in a plane that are a certain distance from a single point?

a. circle
b. hyperbola
c. parabola
d. ellipse

Explanation:

Analyze the geometric definition

The set of all points in a plane that are at a constant distance (the radius) from a fixed single point (the center) is the definition of a circle.

Compare with other options

• A hyperbola is the set of points where the difference of distances to two foci is constant.
• A parabola is the set of points equidistant from a focus and a directrix.
• An ellipse is the set of points where the sum of distances to two foci is constant.

Answer:

• A. Circle (Correct answer)
• B. Hyperbola
• C. Parabola
• D. Ellipse