The endpoints of a diameter of a circle are A(2,−3) and B(8,5).
(i) Determine the coordinates of the centre of the circle.
(ii) Calculate the length of the radius.
(iii) Write the equation of the circle in standard form (x−h)2+(y−k)2=r2.
(iv) Rewrite the equation obtained in part (iii) in the expanded general form x2+y2+2gx+2fy+c=0. State the values of g,f and c.