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an ellipse.

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


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.


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.


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?

[object Object]


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.


What is the difference between a circle and a ellipse?

Basically a circle has a constant radius throughout and an ellipse does not.a circle has a constant radiusan ellipse has two foci. they are at either end of the ellipse


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

Ellipse.


Is a point that helps to define an ellipse?

No there can never be a single point. But yes there are two such points called foci( each called focus) that helps to define an ellipse. An ellipse can then be defined as a curve which is actually the locus of all points in a plane,the sum of whose distances from two fixed points (the foci) is a given(positive)constant . This is further expressed mathematically to obtain the equation of an ellipse.