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O-LevelAdditional MathematicsSimultaneous equations4037/12 · Oct/Nov 2011 · Q25 Marks

Find the coordinates of the points where the line 2y = x − 1 meets the curve x² + y² = 29.

  1. Find the coordinates of the points where the line 2y = x − 1 meets the curve x² + y² = 29.[5]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.

  1. [M1] M1 for attempt to get an equation in terms of one variable only
  2. [DM1] DM1 for obtaining a 3 term quadratic equation
  3. [DM1] DM1 for attempt to solve quadratic equation
  4. [A1] A1 for a pair of values
  5. [A1] A1 for x = 5, y = 2

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About this question

Topic
Simultaneous equations, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2011 Paper 1 Variant 2, question 2.

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