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O-LevelMathematicsCoordinate geometry4024/12 · Oct/Nov 2022 · Q164 Marks

P is the point (–2, 1) and Q is the point (6, 13). M is the midpoint of the line PQ.

  1. (a)Find the coordinates of M.[1]
  2. (b)(i)Find the gradient of the line PQ.[2]
  3. (b)(ii)Write down the gradient of a line that is perpendicular to the line PQ.[1]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.

  1. [1] (2, 7)
  2. [2] 3/2 oe
  3. M1 for (13-1)/(6--2) oe
  4. [1] Strict FT their (b)(i)

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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 2022 Paper 1 Variant 2, question 16.

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