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  the latus rectum is of length

Solution: Here the foci are on the -axis
Therefore, the equation of the hyperbola is of the form 
Since the foci are 
Length of latus rectum


We know that 





Since a is non-negative

Thus the equation of the hyperbola is 
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