The vertices \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) of a triangle \( \mathrm{ABC} \) have coor...

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The vertices \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) of a triangle \( \mathrm{ABC} \) have coordinates \( (4,4),(5,3) \) and \( (6,0) \) respectively. Find the equations of the perpendicular bisectors of \( A B \) and \( B C \), the coordinates of the circumcentre and the equation of the circumcircle of \( \triangle \mathrm{ABC} \).
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