Diagram NOT accurately drawn Р. В X Figure 3 In Figure 3, OÁ = a, OB = b and M is the mid-point of AB. The point P is on OA such that OP:PA = 3:2 The point X lies on OB produced. (a) Find, as simplified expressions in terms of a and b, (i) АВ (ii) OM (ii) РM Given that P, M and X are collinear (b) find, in terms of b, (c) Find the ratio (area AOAM):(area AOAX).

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