Q. 1 H5.0( 1 Vote )

In each of the following find the equations of the hyperbola satisfying the given conditions

vertices (0, ± 6),

Answer :

Given: Vertices (0, ±6),


To find: equation of the hyperbola


Formula used:


The standard form of the equation of the hyperbola is,



Coordinates of the vertices for a standard hyperbola is given by (0, ±b)


According to question:


b = 6 b2 = 36


We know,


a2 = b2(e2 – 1)







a2 = 64


Hence, equation of hyperbola is:




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