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O-LevelAdditional MathematicsSimultaneous equations4037/12 · Oct/Nov 2012 · Q57 Marks

The line x – 2y = 6 intersects the curve x² + xy + 10y + 4y² = 156 at the points A and B. Find the length of AB.

  1. The line x – 2y = 6 intersects the curve x² + xy + 10y + 4y² = 156 at the points A and B. Find the length of AB.[7]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2012). The mark or mark type is shown in brackets.

  1. [M1] M1 for attempt to obtain an equation in one variable.
  2. [M1] M1 for reducing to a three term quadratic equated to zero
  3. [DM1] DM1 for correct attempt to solve, must be from points of intersection
  4. [A1] A1 for each correct pair
  5. [A1]
  6. [M1] M1 for correct attempt to use Pythag.
  7. [A1] A1 Allow in any of these forms

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About this question

Topic
Simultaneous equations, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2012 Paper 1 Variant 2, question 5.

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