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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


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 for which the sum of the distances two fixed points equal a certain constant?

You're trying to describe an "ellipse".


Two fixed points A and B are 100mm apart Trace the complete path of a point P moving in same plane in such a way that the sum of its its distances from A and B is always equal to 125mmName the curve?

The curve traced by the point P in this scenario is an ellipse. An ellipse is a closed curve where the sum of the distances from two fixed points (foci) to any point on the curve is constant. In this case, the foci are points A and B, and the constant sum of distances is 125mm. The major axis of the ellipse is the line segment passing through the foci, and the minor axis is perpendicular to the major axis.


What is the definition of ellipse in math terms?

It is the locus of a point such that the sum of its distance from two (distinct) fixed points is a constant. So, given two fixed points, F1 and F2, an ellipse is the locus of the point P such that PF1 + PF2 is a constant. That would be an ellipsoid, a 3 dimensional thing. The 2 distances have to be measured in a fixed (2 dimensional) plane.


A collection of points in the plane whose distance from fixed point is constant?

That's a circle. The "fixed point" is the center of the circle, and the constant distance is its radius.


Is a fixed location in space?

A fixed location in space is a point in the three-dimensional coordinate system that remains constant and does not change its position relative to other points. It serves as a reference or anchor point for measuring distances and positions within a specific frame of reference.


Which of these is the best definition for ellipse?

It is the locus of points such that the sum of their distance from two distinct fixed points is a constant.


How do you differentiate number with power?

A number with a power is still a number - a fixed constant. The differential of a constant is always 0.


What is the ellispe?

An ellipse is a closed curved shape that is symmetrical around two axes. It is defined as the set of points in a plane where the sum of the distances to two fixed points (the foci) is constant. Ellipses are commonly found in nature and are used in mathematics, physics, and engineering for various applications.


What shape name would define the obrit of the planets around the sun?

The shape that defines the orbit of planets around the sun is an ellipse. An ellipse is a closed curve in which the sum of the distances from any point on the curve to two fixed points (foci) is constant.


What is the focus of a hyperbola?

The foci (plural of focus, pronounced foh-sigh) are the two points that define a hyperbola: the figure is defined as the set of all points that is a fixed difference of distances from the two points, or foci.