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O-LevelAdditional MathematicsQuadratic functions4037/21 · Oct/Nov 2010 · Q56 Marks

Find the set of values of m for which the line y = mx – 2 cuts the curve y = x² + 8x + 7 in two distinct points.

  1. (a)Find the set of values of m for which the line y = mx – 2 cuts the curve y = x² + 8x + 7 in two distinct points.[6]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2010). The mark or mark type is shown in brackets.

  1. [M1] Eliminate y
  2. [A1] x² + (8 – m)x + 9 = 0
  3. [DM1] Use b² > 4ac
  4. [DDM1] Reach (8 – m)² > 36 or solves m² – 16m + 28 > 0
  5. [A1] m = 2 and 14
  6. [A1] m < 2, m > 14

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About this question

Topic
Quadratic functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2010 Paper 2 Variant 1, question 5.

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