| Exam Board | Edexcel |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Conic sections |
| Type | Parabola focus and directrix properties |
| Difficulty | Moderate -0.5 This is a direct application of the focus-directrix definition of a parabola requiring only distance formula setup and algebraic simplification. While it's a Further Maths topic, the question is straightforward with no problem-solving insight needed—students simply apply √[(x+3)²+y²] = |x-3| and expand to get y² = -12x. |
| Spec | 1.03d Circles: equation (x-a)^2+(y-b)^2=r^2 |
2. A point $P$ with coordinates $( x , y )$ moves so that its distance from the point $( - 3,0 )$ is equal to its distance from the line $x = 3$.
Find a cartesian equation for the locus of $P$.\\
\hfill \mbox{\textit{Edexcel FP1 Q2 [3]}}