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Foci, (the plural of focus), are a pair of points used in determining conic sections. They always fall on the major axis of symmetry of a conic. For example, in a circle, there is only one focus, the centerpoint. Every distance from the focus to any other point on the circle will be the same. In a parabola, the distance from any point of the parabola to the focus equals the distance from the centerpoint to the directrix. In a hyperbola, the difference of the distances between a point on the hyperbola and the focus points will be constant, and in an ellipse, the sum of the distances from any point on the ellipse to one of the foci is constant.

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What happens when you decrease the distance between two foci?

The answer depends on whether they are the foci of an ellipse or a hyperbola.


What is the name of the two centers of an ellipse?

The two centers of an ellipse are called the foci (singular: focus). The foci are two distinct points along the major axis of the ellipse, and the sum of the distances from any point on the ellipse to these two foci is constant. Additionally, the center of the ellipse, which is the midpoint between the foci, is another important point but is distinct from the foci themselves.


How does the eccentricity of an ellipse change as the foci get closer together?

As the foci of an ellipse move closer together, the eccentricity of the ellipse decreases. Eccentricity is a measure of how elongated the ellipse is, defined as the ratio of the distance between the foci to the length of the major axis. When the foci are closer, the ellipse becomes more circular, resulting in a lower eccentricity value, approaching zero as the foci converge to a single point.


What happens when you increase the distance between two foci?

-- If they're the foci of a single optical system, then the result can't be stated in general.It depends on the curvatures and relative position of the lenses.-- If they're both the foci of the same ellipse, then the ellipse becomes more eccentric.That is, more squashed and less circular.-- If they're the foci of two parabolas, then there's no relationship between them, andnothing in particular depends on the distance between them.The answer depends on whether they are the foci of an ellipse or a hyperbola.


How many foci does a hyperbola have?

2

Related Questions

How many foci does the graph of a hyperbola have?

Two foci's are found on a hyperbola graph.


How do you say plural foci?

Foci is the plural form of the singular noun focus.


What is a T2 hyperintense foci?

Type your answer here... it is a T2 hyperintense foci


What is sounnd foci?

The point where sound waves come together (foci).


What is a sentence with foci?

The essence of this war is to establish, foci or liberated areas in the countryside


What is foci and why are they important?

By definition, foci are the centres of interest or activity and so are important.


What is a metastatic foci?

by DonJuanDaDj, metastatic foci is an orgin of the cancer cells that has moved to a new site


What happens when you decrease the distance between two foci?

The answer depends on whether they are the foci of an ellipse or a hyperbola.


What is the name of the two centers of an ellipse?

The two centers of an ellipse are called the foci (singular: focus). The foci are two distinct points along the major axis of the ellipse, and the sum of the distances from any point on the ellipse to these two foci is constant. Additionally, the center of the ellipse, which is the midpoint between the foci, is another important point but is distinct from the foci themselves.


Can the foci of an ellipse can be outside the ellipse?

No. Both foci are always inside the ellipse, otherwise you don't have an ellipse.


Can the foci of an ellipse be outside of the ellipse?

No. Both foci are always inside the ellipse, otherwise you don't have an ellipse.


How many foci in circular orbit?

Most orbits are elliptical; all NATURAL orbits are. There are two foci, or focuses, to an ellipse. The distance between the foci determines how eccentric, or non-circular, they are. If the two foci are in the same place, then the ellipse becomes a circle. So a circular orbit would have only one focus.