Parametric equationsEdexcel International A Level Maths: Mind map

Exam questions on Parametric equations

1. A curve $C$ has parametric equations $x=3t-1$, $y=t^2+2$, where $t$ is a real parameter.
   Find the coordinates of the points where $C$ meets the line $y=11$.2 marks
2. A curve $D$ has parametric equations $x=3\sin t$, $y=2\cos t$, for $0\leq t<2\pi$.
   Find the coordinates of the points where $D$ meets the $y$-axis.2 marks
3. A ball is thrown so that, $t$ seconds later, its horizontal distance is $x=20t$ metres and its height is $y=15t-5t^2$ metres, for $t\geq0$ until it lands.
   Find a Cartesian equation of the path of the ball, in the form $y=f(x)$.3 marks