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What is the difference between parabola and hyperbola?

What is the difference between parabola and hyperbola?

Grade:11

1 Answers

Arun
25750 Points
5 years ago
When a set of points present in a plane are equidistant from the directrix, a given straight line, and are equidistant from the focus, a given point which is fixed, it is called a parabola. When the difference of distances between a set of points present in a plane to two fixed foci or points is a positive constant, it is called a hyperbola.
All parabolas are of the same shape no matter what the size; all hyperbolas are of different shapes
The parabola is given by the equation y2=X; a hyperbola is given by the equation XY=1
In a parabola the two arms become parallel to each other whereas in a hyperbola they do not.
 

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