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Mathematics (Syllabus D) · May / June 2024 · Paper 12 · Question 25

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a b O A X B C NOT TO SCALE OCB is a triangle. A is a point on OC such that OA AC 1 3 | | = . X is the midpoint of BC. OA a = and OB b = . Find the position vector of X. Give your answer as simply as possible in terms of a and b. [3]

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