Answer the following questions about internal division of a line segment:
a. (i) Describe, in your own words, what is meant by a point dividing a line segment internally in a given ratio.
b. (ii) Without using the distance formula, explain why the point M(4,8) is the midpoint of the segment joining A(1,2) and B(7,14).
c. (iii) Can the midpoint of a line segment ever lie outside the segment? Give a brief reason for your answer.