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

Class 11

Math

3D Geometry

Conic Sections

560
150

Find the equation of the hyperbola satisfying the give conditions: Foci
passing through

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

Since the hyperbola passes through point

From equation (1) and (2), we obtain

In hyperbola , i.e.,

Thus the equation of the hyperbola is
560
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