Q11 of 71 Page 27

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

vertices (0, ± 5), foci (0, ± 8)

Given: Vertices are (0, ±5) and foci are (0, ±8)


To find: equation of the hyperbola


Formula used:


The standard form of the equation of the hyperbola is,



Vertices of the hyperbola are given by (0, ±b)


Foci of the hyperbola are given by (0, ±be)


Vertices are (0, ±5) and foci are (0, ±8)


Therefore,





a2 = b2(e2 – 1)







⇒ a2 = 39


The equation of hyperbola:




Hence, the required equation of the hyperbola is


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