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You're trying to describe an "ellipse".

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Q: What term best describes the set of all points in a plane for which the sum of the distances two fixed points equal a certain constant?
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Which term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant?

Sounds like an elliptical to me.


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

The answer will depend on what the "certain distances" are for each point.


Which of these is the best definition of an ellipse?

The set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant. - APEX


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

The answer will depend on what the "certain distances" are for each point.


What terms best describes the set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant?

The question asks about the "following". In those circumstances would it be too much to expect that you make sure that there is something that is following?


What is the set of all points on a plane so that the sum of the distances from two fixed points is always constant?

an ellipse.


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

Circle


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

Circle


A line is the set of all points that have what distances from how many points?

Two points.


The Cartesian coordinate system describes points on the?

It describes points on a plane.


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

===> "circle", with center at the "single point" and radius of the "certain distance".


What best describes an extreme value of a polynomial?

An "extreme value" is either a local maximum, or a local minimum - i.e., a point which is greater than all the points in a certain neighborhood, or less than all points in a certain neighborhood.