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O-LevelAdditional MathematicsStraight line graphs4037/11 · May/June 2015 · Q58 Marks

The curve y = xy + x² – 4 intersects the line y = 3x – 1 at the points A and B. Find the equation of the perpendicular bisector of the line AB.

Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

  1. [M1] equate and attempt to obtain an equation in 1 variable
  2. [DM1] forming a 3 term quadratic equation and attempt to solve
  3. [A1] x values
  4. [A1] y values
  5. [B1] for midpoint, allow anywhere
  6. [M1] correct attempt to obtain the gradient of the perpendicular, using AB
  7. [M1] straight line equation through the midpoint; must be convinced it is a perpendicular gradient.
  8. [A1] allow unsimplified

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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 2015 Paper 1 Variant 1, question 5.

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