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O-LevelAdditional MathematicsStraight line graphs4037/11 · May/June 2020 · Q68 Marks

The line y = 5x+6 meets the curve xy = 8 at the points A and B.

  1. (a)Find the coordinates of A and of B.[3]
  2. (b)Find the coordinates of the point where the perpendicular bisector of the line AB meets the line y = x.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [M1] For attempt to equate and obtain a 3-term quadratic in either x or y
  2. [A1] Allow Al1 if only x-coordinates or only y-coordinates are given
  3. [A1] (4/5, 10) and (-2, -4)
  4. [B1] Midpoint (-3/5, 3/5)
  5. [B1] Gradient 5
  6. [M1] Attempt at perp bisector using their midpoint and perp gradient
  7. [M1] For use of y=x and attempt to solve
  8. [A1] (12/5, 12/5)

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About this question

Topic
Straight line graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 8 marks.
Source
O-Level Additional Mathematics, May/June 2020 Paper 1 Variant 1, question 6.

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