Conic Section
Further Mathematics S.S.S 3 First Term
WEEK 7
Conic Section
Performance Objectives
Students should be able to:
- Recognize the two dimensional equations of parabola, ellipse and hyperbola
- Recognize parametric equations
Content
The Parabola
A parabola is a locus of points, equidistant from a given point, called the focus, and from a given line called the directrix.

The line
, a distance of a
from the y -axis is called the directrix.
The line AF is called the axis of symmetry.
Since






Hence, the equation of the parabola is

The line segment through the focus and perpendicular to the axis of symmetry, and with end points R
and Q
on the parabola, is called the latus rectum…