Find the locus of a point such that the sum of its distances from the points `(0,2)a n d(0,-2)` is`6.`

Explanation

To find the locus of a point such that the sum of its distances from the points (0, 2) and (0, -2) is 6, we can follow these steps:

### Step 1: Define the points and the variable point
Let \( P(x, y) \) be the point whose locus we need to find. The fixed points are \( A(0, 2) \) and \( B(0, -2) \).

### Step 2: Write the distance formulas
The distance from point \( P(x, y) \) to point \( A(0, 2) \) is given by:
\[
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