In each of the, find the equations of the hyperbola satisfying the given conditions.

Foci ( 5, 0), the transverse axis is of length 8.


Foci ( 5, 0), the transverse axis is of length 8.


Here, the foci are on x-axis.


Thus,


The equation of the hyperbola is of the form


Since, the foci are (5, 0), c= 5


Since, the length of the transverse axis is 8,


2a = 8 a = 4


We know that, a2 + b2 = c2


42 + b2 = 52


b2 = 25 – 16 = 9


Hence, the equation of the hyperbola is


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