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O-LevelMathematicsVectors and transformations4024/12 · May/June 2024 · Q253 Marks

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. [Figure 25]

  1. .Find the position vector of X. Give your answer as simply as possible in terms of a and b.[3]

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Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [3] 2a + 1/2 b final answer
  2. [2] B2 for BX = 2a - 1/2 b oe
  3. [2] B2 for CX = -2a + 1/2 b oe
  4. [1] M1 for a correct vector route for OX along lines of diagram
  5. [1] B1 for OC = 4a soi

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, May/June 2024 Paper 1 Variant 2, question 25.

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