Parametric and Cartesian formsAQA A-Level Maths: Mind map

Exam questions on Parametric and Cartesian forms

1. A curve is given by the parametric equations $x=2t+1$, $y=t^2-3$, where $t$ is a real number.
   Find the coordinates of the point on the curve where $y$ is least.2 marks
2. A curve $C$ is given by the parametric equations $x=4\cos\theta$, $y=3\sin\theta$ for $0\le\theta<2\pi$.
   Find the coordinates of the points where $C$ meets the $y$-axis.2 marks
3. A curve is given by the parametric equations $x=\dfrac{2}{t}$, $y=t+1$, where $t\neq0$.
   Find the Cartesian equation of the curve, and state any restriction on $x$.3 marks