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 that satisfies the given conditions, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Standard Form of the Hyperbola**:
Since the foci are located at (0, ±√10), this indicates that the hyperbola opens vertically. Therefore, the standard form of the hyperbola is:
\[
\frac{y^2}{a^2} - \frac{x^2}{b^2} = 1
...