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

foci (±5, 0), transverse axis = 8

To find: equation of the hyperbola


Formula used:


The standard form of the equation of the hyperbola is,



Length of transverse axis is 2a


Coordinates of the foci for a standard hyperbola is given by (±ae, 0)


According to question:


2a = 8 and ae = 5


2a = 8



a = 4


a2 = 16


ae = 5




We know,


b2 = a2(e2 – 1)






b2 = 4(21)


b2 = 84


Hence, the equation of the hyperbola is:




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