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Sample question copied from there
OABC is a rectangle in which OC = 2x, CB = 2y, and M is the midpoint of AB. OA is
produced to D such that 3OA = 2OD and OM is produced to meet BD at
N.
(a) Express the following vectors in terms of x and y, giving each answer in its simplest
form.
(i) OB,
(ii) OM,
(iii) BD
(b) If BN = α BD and ON = β OM, form an equation connecting α, β,
x and y and find the values of α and β.
(c) Hence, find the value of
(i) OM/ON
(ii) area of ΔMDN / area of ΔMDO
(iii) area of ΔOBD / area of trapezium OCBD