Find a point on y-axis which is equidistant from the points `(5,\ -2)` and `(-3,\ 2)` .

Explanation

To find a point on the y-axis that is equidistant from the points \( A(5, -2) \) and \( B(-3, 2) \), we can follow these steps:

### Step 1: Define the Point on the Y-axis
Let the point on the y-axis be \( P(0, y) \). Since it lies on the y-axis, its x-coordinate is 0.

### Step 2: Use the Distance Formula
The distance between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by the formula:
\[
...