Determine the point in XY-plane which is equidistant from thee points `A(2,0,3),B(0,3,2)a n dC(0,0,1)dot`

Explanation

To determine the point in the XY-plane that is equidistant from the points A(2, 0, 3), B(0, 3, 2), and C(0, 0, 1), we can follow these steps:

### Step 1: Define the Point in the XY-plane
Since we are looking for a point in the XY-plane, we can denote this point as P(x, y, 0). The z-coordinate is 0 because it lies in the XY-plane.

### Step 2: Set Up the Distance Equations
The point P must be equidistant from points A, B, and C. This means we can set up the following equations based on the distances:

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