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Answer :

The circumcenter of a right angled triangle is midpoint of the hypotenuse side.

Determine the midpoint of the hypotenuse.

[tex]\begin{gathered} x=\frac{-4+0}{2} \\ =\frac{-4}{2} \\ =-2 \end{gathered}[/tex]

For y coordinate,

[tex]\begin{gathered} y=\frac{2-3}{2} \\ =\frac{-1}{2} \end{gathered}[/tex]

So, circumcenter of triangle is,

[tex](-2,\frac{-1}{2})[/tex]