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O-LevelAdditional MathematicsStraight line graphs4037/12 · Oct/Nov 2018 · Q129 Marks

The line y = 2x+5 intersects the curve y+xy = 5 at the points A and B. Find the coordinates of the point where the perpendicular bisector of the line AB intersects the line y = x.

  1. (a)The line y = 2x+5 intersects the curve y+xy = 5 at the points A and B. Find the coordinates of the point where the perpendicular bisector of the line AB intersects the line y = x.[9]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

  1. [M1] For attempt to obtain a simplified quadratic equation in one variable equated to 0
  2. [M1] Dep For solution of quadratic
  3. [A1]
  4. [A1]
  5. [B1]
  6. [M1] For attempt to obtain gradient of line perpendicular to AB using their coordinates
  7. [M1] For a correct attempt to obtain equation of perpendicular bisector using their midpoint and their perpendicular gradient
  8. [M1] Dep on previous M1 For attempt to find intersection with the line y = x
  9. [A1] For both

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About this question

Topic
Straight line graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 9 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2018 Paper 1 Variant 2, question 12.

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