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Mathematics (AS & A Level) · Oct / Nov 2023 · Paper 11 · Question 2

9709

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A line has equation y = 2cx + 3 and a curve has equation y = cx2 + 3x −c, where c is a constant. Showing all necessary working, determine which of the following statements is correct. A The line and curve intersect only for a particular set of values of c. B The line and curve intersect for all values of c. C The line and curve do not intersect for any values of c. [4]

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