Q55 of 62 Page 11

Vertices (0, ± 5), foci (0, ± 8)


Since the foci are on y axis, the equations of the hyperbola is of the form

= 1

Given: vertices are (0, ± 5), a = 5

Also, since foci are (0, ± 8), c = 8 and b2 = c2 – a2 = 64 – 25 = 39

Therefore, the equation of the hyperbola is = 1.

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