| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2023 |
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| Session | November |
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| Topic | Quadratic Functions |
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6 A line has equation \(y = 6 x - c\) and a curve has equation \(y = c x ^ { 2 } + 2 x - 3\), where \(c\) is a constant. The line is a tangent to the curve at point \(P\).
Find the possible values of \(c\) and the corresponding coordinates of \(P\).