Parametric equationsEdexcel A-Level Maths: Mind map

Exam questions on Parametric equations

1. A curve $C$ has parametric equations $x=2t+1$, $y=4t^2-3$, where $t$ is a real number.
   Find the coordinates of the point where $C$ crosses the $y$-axis.2 marks
2. A curve $D$ has parametric equations $x=-2+4\cos t$, $y=3+4\sin t$, for $0\le t<2\pi$.
   Find the values of $t$, for $0\le t<2\pi$, at the points where $D$ meets the line $x=0$.2 marks
3. A curve $H$ has parametric equations $x=3t$, $y=\frac{12}{t}$, where $t\ne0$.
   Find a Cartesian equation of $H$ in the form $xy=k$, and state the values that $x$ cannot take.3 marks