| Exam Board | CAIE |
| Module | P1 (Pure Mathematics 1) |
| Year | 2024 |
| Session | November |
| Topic | Simultaneous equations |
4 Show that the curve with equation \(x ^ { 2 } - 3 x y - 40 = 0\) and the line with equation \(3 x + y + k = 0\) meet for all values of the constant \(k\).