Find the equation of the hyperbola satisfying the give conditions: | Filo

Class 11

Math

3D Geometry

Conic Sections

568
150

Find the equation of the hyperbola satisfying the give conditions: Foci  the conjugate axis is of length

Solution: It is given that, foci  the conjugate 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 conjugate axis is ,
We know that

Thus the equation of the hyperbola is
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