| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2023 |
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| Session | June |
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| Marks | 5 |
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| Topic | Product & Quotient Rules |
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5 The line with equation \(y = k x - k\), where \(k\) is a positive constant, is a tangent to the curve with equation \(y = - \frac { 1 } { 2 x }\).
Find, in either order, the value of \(k\) and the coordinates of the point where the tangent meets the curve. [5]