What are the properties of hyperbola?

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Sridhar Reddy S

Mathematics expert graduated from IIT Madras

The points on the hyperbola possess a common property that "The difference between the distances from a point on hyperbola to the foci is constant" i.e., If P is a point on hyperbola and F1, F2 are the foci, then | PF1 - PF2 | is constant.
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Math, Sciences and Electrical Engineering

Hyperbola is an open ended conic section i.e., the curve continues indefinitely to infinity. General equation of a Hyperbola: .
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The asymptotes of a hyperbola lie on the points of intersection of circle containing the foci and tangents from the vertices. The directrix lies on the point of intersection of the auxiliary circle and the asymptotes.
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