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O-LevelMathematicsCoordinate geometry4024/12 · Oct/Nov 2014 · Q255 Marks

P is (-4, 4) and Q is (3, -2). M is the midpoint of PQ.

  1. (a)Find the coordinates of M.[1]
  2. (b)Find the gradient of the line PQ.[1]
  3. (c)(i)Find the coordinates of R.[2]
  4. (c)(ii)Write down the value of PM/MR.[1]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.

  1. [1] (a) (-0.5, 1)
  2. [1] (b) -6/7
  3. [2] (c) (i) (10, -8)
  4. [2] C1 for one correct coordinate
  5. [1] (c) (ii) 1/3

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About this question

Topic
Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, Oct/Nov 2014 Paper 1 Variant 2, question 25.

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