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O-LevelAdditional MathematicsQuadratic functions4037/12 · May/June 2018 · Q25 Marks

Find the values of k for which the line y = 1-2kx does not meet the curve y = 9x² - (3k + 1)x + 5.

Find the values of k for which the line y = 1-2kx does not meet the curve y = 9x² - (3k + 1)x + 5.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

M1 For an attempt to obtain an equation in x only
A1 correct 3 term equation 9x² - (k+1)x + 4 = 0
M1dep for correct use of b² – 4ac oe (k+1)²-(4×9×4)
A1 Critical values k=11, k=−13
A1 For the correct range -13<k<11

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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 2018 Paper 1 Variant 2, question 2.

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