Question 3

The points A(2a – 11; a +2), C(4; -1) and D(4p; p – 7) are the vertices of ∆ACD with B(-2; 3)
on AC.

3.1 If points A, B and C are collinear, find the value of a. (4)

3.2 Determine the equation of the line AC. (3)

3.3 Hence, determine the co-ordinates of midpoint M of AB. (3)

3.4 Determine the value of p if CD is parallel to the x-axis. (3)

[13]

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