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Difference between Hyperbola and Parabola.
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A hyperbola can be described as the difference of distances between a set of points, which are present in a plane to two fixed points is a positive constant. A parabola can be described as a set of points in a plane which are equidistant from a straight line or directrix and focus.
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parabola Hyperbola
A parabola is defined as
a set of points in a plane
which are equidistant
from a straight
line or directrix
and focus.
The hyperbola can be defined as the difference of distances between a set of points, which are present in a plane to two fixed points is a positive constant.
A parabola has single focus and directrix A hyperbola has two foci and two directrices
Eccentricity, e = 1 Eccentricity, e>1
All parabolas should have the same shape irrespective of the size The hyperbolas can be of different shapes
The two arms present in a parabola should be parallel to each other The arms present in hyperbola are not parallel to each other.
It has no asymptotes It has two asymptotes.
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