| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2013 |
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| Session | June |
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| Topic | Polynomial Division & Manipulation |
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10 The curve \(C\) has equation \(y = \frac { 2 x ^ { 2 } - 3 x - 2 } { x ^ { 2 } - 2 x + 1 }\). State the equations of the asymptotes of \(C\).
Show that \(y \leqslant \frac { 25 } { 12 }\) at all points of \(C\).
Find the coordinates of any stationary points of \(C\).
Sketch \(C\), stating the coordinates of any intersections of \(C\) with the coordinate axes and the asymptotes.