Question

question 9 of 25

a line is a set of all points that:

a. are the same distance from one point.
b. are the same distance from two points.
c. have the same difference of distances from two points.
d. have the same sum of distances from two points.

Explanation:

Analyze option A

Points equidistant from a single point define a circle.

Analyze option B

Points equidistant from two distinct points define their perpendicular bisector, which is a line.

Analyze options C and D

Option C defines a hyperbola, and Option D defines an ellipse.

Answer:

• A. are the same distance from one point.
• B. are the same distance from two points. (Correct answer)
• C. have the same difference of distances from two points.
• D. have the same sum of distances from two points.