Find the equations of the hyperbola satisfying the given conditions :Foci `(0,+-13)`, the conjugate axis is of length 24.

Explanation

To find the equation of the hyperbola given the foci and the length of the conjugate axis, we can follow these steps:

### Step 1: Identify the orientation of the hyperbola
Since the foci are at (0, ±13), the hyperbola opens vertically. Therefore, the standard form of the equation for a hyperbola with a vertical transverse axis is:

\[ \frac{y^2}{a^2} - \frac{x^2}{b^2} = 1 \]
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