Find the coordinates of the foci, the vertices the eccentricity an | Filo

Class 11

Math

3D Geometry

Conic Sections

581
150

Find the coordinates of the foci, the vertices the eccentricity and the length of latus rectum of the hyperbola

Solution: The given equation is
It can be written as

On comparing equation (1) with the standard equation of hyperbola
i.e.,
we obtain and
We know that  where

Therefore, the coordinates of the foci are
The coordinates of the vertices are
Eccentricity
Length of latus rectum
581
150

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