Standard +0.3 This question requires converting parametric equations to Cartesian form (or eliminating parameters), then solving simultaneous equations. While it involves multiple steps and algebraic manipulation, the techniques are standard A-level fare with no novel insight required. The 7 marks suggest moderate length but the methods are routine, making it slightly easier than average.
The curve \(C_1\) has parametric equations \(x = 3p + 1\), \(y = 9p^2\).
The curve \(C_2\) has parametric equations \(x = 4q\), \(y = 2q\).
Find the Cartesian coordinates of the points of intersection of \(C_1\) and \(C_2\). [7]
The curve $C_1$ has parametric equations $x = 3p + 1$, $y = 9p^2$.
The curve $C_2$ has parametric equations $x = 4q$, $y = 2q$.
Find the Cartesian coordinates of the points of intersection of $C_1$ and $C_2$. [7]
\hfill \mbox{\textit{WJEC Unit 3 2023 Q13 [7]}}