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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