Find the coordinates of a point equidistant from th four points `O(0,0,0),A(l ,0,0),B(0,m ,0)a n dC(0,0,n)dot`

Explanation

Let,P(x,y,z) be the points

`PO=sqrt(x^2+y^2+z^2)`

`​PA=sqrt((l−x)^2+(−y)^2+(−z)^2`

​=`sqrt((l−x)^2+y^2+z^2)`

​`PB=sqrt(x^2+(m−y)^2+z^2)`

`​PC=sqrt(x^2+y^2+(n−z)^2)`

`​PO=PA=sqrt(x^2+y^2+z^2)`

​=`sqrt((l−x)^2+y^2+z^2)`

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