Moderate -0.5 This is a straightforward polar-to-Cartesian conversion using standard identities (r²sin2θ = 2rsinθ·rcosθ = 2xy). While it's a Further Maths topic, it requires only direct substitution of known formulas with no problem-solving, making it easier than average but not trivial due to the Further Maths context.
The curve C has polar equation
$$r^2 \sin 2\theta = 4$$
Find a Cartesian equation for C.
Circle your answer.
[1 mark]
\(y = 2x\) \quad \(y = \frac{x}{2}\) \quad \(y = \frac{2}{x}\) \quad \(y = 4x\)
The curve C has polar equation
$$r^2 \sin 2\theta = 4$$
Find a Cartesian equation for C.
Circle your answer.
[1 mark]
$y = 2x$ \quad $y = \frac{x}{2}$ \quad $y = \frac{2}{x}$ \quad $y = 4x$
\hfill \mbox{\textit{AQA Further Paper 1 2021 Q3 [1]}}