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In the figure below, OA = a, OB = b and BX meets OY at C. OX:OA = 1:2 and BY:YA = 1:3.
a. Express in terms of a and b: i. BA; (1 mark) ii. OY; (2 marks) iii. BX. (1 mark)
b. Given that OC = hOY and BC = kBX, determine the values of h and k. (6 marks)