| Exam Board | Edexcel |
|---|
| Module | Paper 1 (Paper 1) |
|---|
| Session | Specimen |
|---|
| Topic | Parametric equations |
|---|
5. A curve \(C\) has parametric equations
$$x = 2 t - 1 , \quad y = 4 t - 7 + \frac { 3 } { t } , \quad t \neq 0$$
Show that the Cartesian equation of the curve \(C\) can be written in the form
$$y = \frac { 2 x ^ { 2 } + a x + b } { x + 1 } , \quad x \neq - 1$$
where \(a\) and \(b\) are integers to be found.