Q. 1 H5.0( 1 Vote )

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 b2 = 36

We know,

a2 = b2(e2 – 1)

a2 = 64

Hence, equation of hyperbola is:

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