Find the perpendiculam centre of triangle if its head coordinate is(0,0) (-2,5) (4,3)

I guess you are asking about circumcentre it a point from which all the vertices of traignle are equidistant so use formula of distance distance of (x,y) from (0,0) ,(-2,5),(4,3) all are equal you will get two unknown (x,y) after solving these three equations