Parabola and rectangular hyperbolaEdexcel A-Level Further Maths: Mind map

Exam questions on Parabola and rectangular hyperbola

1. A parabola $C$ has equation $y^2=20x$.
   The point $P$ on $C$ has $x$-coordinate $20$. Use the focus-directrix property to find the distance from $P$ to the focus.2 marks
2. The rectangular hyperbola $H$ has equation $xy=36$.
   Find the equation of the normal to $H$ at the point $(4,9)$, giving your answer in the form $ay=bx+c$ where $a$, $b$ and $c$ are integers.2 marks
3. The parabola $C$ has equation $y^2=8x$.
   The line $y=mx+2$ is a tangent to $C$. Find the value of $m$.3 marks