| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2023 |
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| Session | March |
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| Topic | Quadratic Functions |
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1 A line has equation \(y = 3 x - 2 k\) and a curve has equation \(y = x ^ { 2 } - k x + 2\), where \(k\) is a constant. Show that the line and the curve meet for all values of \(k\).