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

vertices (0, ± 6),

Answer :

**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 ⇒ b^{2} = 36

We know,

a^{2} = b^{2}(e^{2} – 1)

⇒ a^{2} = 64

Hence, equation of hyperbola is:

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