Which term best describes the set of all points in a plane that are a certain distance from a single point?A.ParabolaB.CircleC.HyperbolaD.Ellipse

Break Down the Problem

1. Identify the question type: This is a multiple-choice question regarding geometric definitions.
2. Determine what is being asked: The question seeks to identify the correct term that describes a specific geometric shape based on the description provided.

Relevant Concepts

1. The definition of a circle: A circle is defined as the set of all points in a plane that are equidistant from a single point called the center.

Analysis and Detail

1. Parabola: This is not relevant because a parabola is defined as the set of points equidistant from a point (focus) and a line (directrix).
2. Circle: According to the definition, the set of all points at a fixed distance (radius) from a center point perfectly matches the description given.
3. Hyperbola: This is not relevant as it consists of two separate curves, created by the set of points where the absolute difference of the distances to two foci is constant.
4. Ellipse: Though it's similar to a circle, it involves two foci and the sum of distances to these foci being constant, not a single point.

Verify and Summarize

The description provided matches the definition of a circle. Thus, the correct answer can be confidently confirmed.

Final Answer

B. Circle