Question

$A\left(n\right)$__________ is the collection of all points in the plane such that the distance from each point to a fixed point equals its distance to a fixed line.

Short answer

$A\left(n\right)$ Parabola is the collection of all points in the plane such that the distance from each point to a fixed point equals its distance to a fixed line.

Step-by-step solution

Step 1. Definition.

Definition of the parabola:

A parabola isthe set of points in a plane that are the same distance from a given point and a given line in that plane.

Step 2. Explanation.

Using definition of the parabola,

A parabola is the set of points in a plane that are the same distance from a given point and a given line in that plane.

Step 3. Conclusion.

Hence, $A\left(n\right)$ Parabola is the collection of all points in the plane such that the distance from each point to a fixed point equals its distance to a fixed line.