Question

question 3 of 10

the directrix and focus are the same distance from a given point on a parabola.

a. true

b. false

Explanation:

Analyze the definition of a parabola

A parabola is defined geometrically as the set of all points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

Evaluate the statement

The statement says: "The directrix and focus are the same distance from a given point on a parabola." This matches the geometric definition of a parabola, where the distance from any point on the curve to the focus equals the perpendicular distance from that same point to the directrix. Therefore, the statement is true.

Answer:

• A. True (Correct answer)
• B. False