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O-LevelAdditional MathematicsQuadratic functions4037/11 · May/June 2014 · Q45 Marks

Find the set of values of k for which the line y = k(4x – 3) does not intersect the curve y = 4x² + 8x - 8.

  1. Find the set of values of k for which the line y = k(4x – 3) does not intersect the curve y = 4x² + 8x - 8.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.

  1. [M1] M1 for equating the line and the curve and attempt to obtain a quadratic equation in k
  2. [DM1] DM1 for use of b² - 4ac with k
  3. [DM1] DM1 for solution of a 3 term quadratic equation, dependent on both previous M marks
  4. [A1] A1 for both critical values
  5. [A1] A1 for the range

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About this question

Topic
Quadratic functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2014 Paper 1 Variant 1, question 4.

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