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 Form 4 Mathematics Paper 1 Exam Revision Questions With Answers Set 3

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In the figure above vector OA = a and OB = b. P is the midpoint of OA and Q divides OB in the ratio 2:1.
a) Express the following vectors in terms of a and b
i. BP
ii. AQ
b) Lines BP and AQ intersect at R such that BR = mBP and AR = nAQ. Where m and n are constants. Express OR in two different ways in terms of a.b, m and n. Hence find the values of m and n.
c) Determine the ratio AR:RQ and hence using the ratio theorem in triangle OAQ, write OR in terms of a and b.

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