Find the equation of the hyperbola satisfying the given conditions | Filo

Class 11

Math

3D Geometry

Conic Sections

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150

Find the equation of the hyperbola satisfying the given conditions: Foci  the
transverse axis is of length

Solution: It is given that, foci  the transverse axis is of length
Here the foci are on the -axis.
Therefore, the equation of the hyperbola is of the form
Since the foci are
Since the length of the transverse axis is ,
We know that

Thus the equation of the hyperbola is
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