Find the equation for the ellipse that satisfies the given conditions:Centre at (0, 0), major axis on the y–axis and passes through the points (3, 2) and (1, 6).

Explanation

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

### Step 1: Identify the standard form of the ellipse
Since the center is at (0, 0) and the major axis is on the y-axis, the standard form of the ellipse is given by:

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