The points B(1,2) and C(4,5) are fixed. A point A(x,y) is chosen so that the area of △ABC equals 7 square units.
a. (i) Obtain the equation of the locus of A.
b. (ii) Find the coordinates of the points where this locus meets the x–axis.
c. (iii) Determine whether the origin lies on, inside, or outside the locus obtained in part (i), giving full justification.