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 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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