| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2021 |
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| Session | June |
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| Topic | Quadratic Functions |
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3 A line with equation \(y = m x - 6\) is a tangent to the curve with equation \(y = x ^ { 2 } - 4 x + 3\).
Find the possible values of the constant \(m\), and the corresponding coordinates of the points at which the line touches the curve.