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O-LevelMathematicsCoordinate geometry4024/12 · Oct/Nov 2017 · Q204 Marks

The coordinates of P and M are (−3, 10) and (0, 4).

  1. (a)Find the gradient of the line PM.[1]
  2. (b)Find the equation of the line PM.[1]
  3. (c)M is the midpoint of PQ. Find the coordinates of Q.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [1] 20(a) -2
  2. [1] 20(b) y = -2x + 4 or FT y = (their(a)) x + 4 or y = (their(a)) (x + 3) + 10
  3. [2] 20(c) (3,-2)
  4. C1 for one correct coordinate

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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 2017 Paper 1 Variant 2, question 20.

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