Find the equations of the hyperbola satisfying the given conditio | Filo

Class 11

Math

Co-ordinate Geometry

Conic Sections

573
150

Find the equations of the hyperbola satisfying the given conditions :Vertices ,

Solution: Solution: Here, Vertices of hyperbola
That means the transverse axis of the hyperbola is -axis.
So, the equation will be of the type,

Also,
In a hyperbola,
Putting value of ,

Eccentricity of hyperbola

Putting value of in (2),

Putting values of and in (1),

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