Find the equation of the ellipse whose centre is at origin, focus is (0,4) and major axis is 10.

Explanation

To find the equation of the ellipse with the given parameters, we can follow these steps:

### Step 1: Identify the parameters of the ellipse
The center of the ellipse is at the origin (0, 0), the focus is at (0, 4), and the length of the major axis is 10.

### Step 2: Determine the semi-major axis (a)
The length of the major axis is 10, so the semi-major axis \( a \) is half of that:
\[
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