In each of the following find the equations of the hyperbola satisfying the given conditions
vertices (0, ± 6), 
Given: Vertices (0, ±6), 
To find: equation of the hyperbola
Formula used:
The standard form of the equation of the hyperbola is,
Coordinates of the vertices for a standard hyperbola is given by (0, ±b)
According to question:
b = 6 ⇒ b2 = 36
We know,
a2 = b2(e2 – 1)
⇒ a2 = 64
Hence, equation of hyperbola is:
1