| 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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6 The equation of a curve is \(y = ( 2 k - 3 ) x ^ { 2 } - k x - ( k - 2 )\), where \(k\) is a constant. The line \(y = 3 x - 4\) is a tangent to the curve.
Find the value of \(k\).