Find the equations of the hyperbola satisfying the given conditions :Foci `(0,+-sqrt(10))`, passing through (2,3)

Explanation

To find the equation of the hyperbola with the given conditions, we will follow these steps:

### Step 1: Identify the general form of the hyperbola
Since the foci are located at (0, ±√10), this indicates that the hyperbola opens vertically. The general equation of a hyperbola that opens vertically is given by:

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