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O-LevelMathematicsCoordinate geometry4024/12 · May/June 2016 · Q143 Marks

The coordinates of the midpoint of the line AB are (1, 2). The length of the line AB is 10 units.

  1. (a)If the gradient of AB is 0, find the coordinates of A and B.[1]
  2. (b)If the gradient of AB is 3/4, find the coordinates of A and B.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.

  1. [1] (a) (-4,2) (6, 2) Both correct
  2. [2] (b) (-3,-1) (5,5)
  3. C1 for one correct
  4. or for two x-values or two y-values correct
  5. or for both (4, 6) and (-2, -2)

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About this question

Topic
Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, May/June 2016 Paper 1 Variant 2, question 14.

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