Properties of Parabolas
 

Properties of Parabolas problem 1


The parabola has a vertex and the directrix with the equation .


  • Write down the equation of a given parabola and find its intersection with the abscissa axis.


  • Write down the equation of that circle with centre at the vertex of a given parabola which cuts a chord of length 8 from the directrix of the given parabola.


  • Show that one of the foci of the hyperbola with the equation lies on the directrix of a given parabola.


 

material editor: Saheed Lawal