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O-LevelMathematicsCoordinate geometry4024/12 · Oct/Nov 2024 · Q245 Marks

P is the point (-1, 4) and Q is the point (-3, -2).

  1. (a)Find the coordinates of the midpoint of the line PQ.[1]
  2. (b)Find the equation of the line perpendicular to PQ which passes through the point P.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

  1. [1] (-2, 1)
  2. [4] y = -1/3 x + 11/3 oe
  3. [4] M1 for [gradient PQ =] (-2-4)/(-3-(-1)) oe
  4. [4] M1 for [gradient perp =] 1/(their gradient PQ) soi
  5. [4] M1 for 4 = (their -1/3) × -1 + c oe
  6. [4] or for y - 4 = (their -1/3)(x - (-1)) oe

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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 2024 Paper 1 Variant 2, question 24.

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