Find the equation of the hyperbola satisfying the give conditions: | Filo
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Class 11

Math

3D Geometry

Conic Sections

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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 
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