OCR MEI Paper 3 2019 June — Question 9

Exam BoardOCR MEI
ModulePaper 3 (Paper 3)
Year2019
SessionJune
TopicImplicit equations and differentiation

9 In this question you must show detailed reasoning.
The curve \(x y + y ^ { 2 } = 8\) is shown in Fig. 9. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{99485c27-9ff8-4bdb-a7e6-49dfcaedc579-7_734_750_397_244} \captionsetup{labelformat=empty} \caption{Fig. 9}
\end{figure} Find the coordinates of the points on the curve at which the normal has gradient 2.