The endpoints of a diameter of a circle are A(2,−3) and B(8,5).
a. (i) Determine the coordinates of the centre of the circle.
b. (ii) Calculate the length of the radius.
c. (iii) Write the equation of the circle in standard form (x−h)2+(y−k)2=r2.
d. (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.