Determine the point in `X Y-p l a n e` whcih is equidistant from three points `A(2,0,3),B(0,3,2)a n dC(0,0,1)dot`

Explanation

Let the points are `A(2,0,3),B(0,3,2) and D(0,0,1)`

We know that Z-coordinate of every point an xy-plane is zero
so let p(x,y,0) be a point on xy-plane such that PA=PB=PC

Now,` PA=PB`

⇒`PA^2=PB^2`

⇒`(x−2)^2+(y−0)^2+(0−3)^2=(x−0)^2+(y−3)^2+(0−2)^2`

⇒`4x−6y=0⇒2x−3y=0......(i)`

and , PB=PC

⇒`PB^2=PC^2`

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