Question

explain hyperbola .....​

Answer 1

Answer:

A hyperbola is an open curve with two branches, the intersection of a plane with both halves of a double cone. The plane does not have to be parallel to the axis of the cone; the hyperbola will be symmetrical in any case.: Standard Forms of the Equation of a Hyperbola with Center (0,0) Note that the vertices, co-vertices, and foci are related by the equation c2=a2+b2 c 2 = a 2 + b 2 .

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Answer 2

Answer:

Hyperbola:

• A hyperbola is the locus of a point in a plane which moves in the plane in such a way that the ratio of its distance from a fixed point(called focus) in the same plane to its distance from a fixed line(called directrix) is always constant which is always greater than unity.(1).

The fixed point is called the locus, the fixed line is called the directrix, the constant ratio is generally denoted by e and is called eccentricity of the hyperbola.

If S is the focus, ZZ' is the directrix and P is any point on the hyperbola as shown in the attached figure, then by definition, we have:

• SP/PM = e
• SP = e.PM

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