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A half of a hyperbola is defined as the locus of points such that the distance of the point from one fixed point (a focus) and its distance from a fixed line (the directrix) is a constant that is greater than 1 (the eccentricity). By symmetry, a hyperbola has two foci and two directrices.
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How many foci does a hyperbola have?
2
How many foci does a graph of a hyperbola have?
2
How many foci does a graph and hyperbola have?
geometry sorry
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 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.
