| Exam Board | Edexcel |
|---|---|
| Module | AEA (Advanced Extension Award) |
| Year | 2006 |
| Session | June |
| Marks | 15 |
| Paper | Download PDF ↗ |
| Topic | Areas by integration |
| Type | Area between curve and line |
| Difficulty | Challenging +1.2 This is an AEA question involving finding intersection points and computing area between a curve and line. While AEA questions are generally harder, this appears to be a structured multi-part question with standard techniques (verifying a point lies on a curve, finding intersections, integration for area). The difficulty is elevated above average due to the AEA context and likely algebraic complexity, but it follows a predictable problem-solving pattern without requiring exceptional insight. |
| Spec | 1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.08f Area between two curves: using integration |
\begin{enumerate}[label=(\alph*)]
\item Show that the point $P ( 1,0 )$ lies on $C$ .
\item Find the coordinates of the point $Q$ .
\item Find the area of the shaded region between $C$ and the line $P Q$ .
\end{enumerate}
\hfill \mbox{\textit{Edexcel AEA 2006 Q6 [15]}}