Points A(2,3) and B(−2,3) are the endpoints of a diameter of a circle.
a. (i) Determine the coordinates of the centre of the circle.
b. (ii) Calculate the length of the radius and hence write the equation of the circle in standard form.
c. (iii) A point P(4,3) is considered. Decide, with reason, whether P lies on the circle, inside it, or outside it.