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O-LevelMathematicsCoordinate geometry4024/12 · Oct/Nov 2018 · Q204 Marks

P is the point (–3, 4), Q is the point (5, 1).

  1. (a)M is the midpoint of PQ. Find the coordinates of M.[1]
  2. (b)Find the gradient of PQ.[1]
  3. (c)R is the point (–6, 0), O is the point (0, 0). Which of the points, R or P, is closer to O? Show your working.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

  1. [1] (1, 2.5)
  2. [1] -3/8 oe
  3. [2] P, with supporting evidence, nfww e.g. OP = 5, OR = 6
  4. B1 for OR = 6 nfww
  5. or M1 for √((-3)²+4²), or better

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About this question

Topic
Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2018 Paper 1 Variant 2, question 20.

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