Q. 11 E

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

foci (0, ±13), conjugate axis = 24

Answer :

Given: foci (0, ±13) and the conjugate axis is 24


To find: equation of the hyperbola


Formula used:


The standard form of the equation of the hyperbola is,



Length of the conjugate axis is 2b


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


According to question:


2b = 24 and be = 13


2b = 24



b = 12


b2 = 144


be = 12




We know,


a2 = b2(e2 – 1)






b2 = 25


Hence, the equation of the hyperbola is:




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