Conic sectionsAQA A-Level Further Maths: Mind map

Exam questions on Conic sections

1. An ellipse $E$ has equation $\dfrac{x^2}{25}+\dfrac{y^2}{9}=1$.
   The line $y=\frac95$ meets $E$ at two points. Find the distance between them.2 marks
2. A parabola $P$ has equation $y^2=12x$.
   Find the coordinates of the points where $P$ meets the line $y=2x$.2 marks
3. A hyperbola $H$ has equation $\dfrac{x^2}{16}-\dfrac{y^2}{9}=1$.
   Write down the coordinates of the points where $H$ meets the $x$-axis, and show that $H$ does not meet the $y$-axis.3 marks