Skip to content

We use essential cookies to sign you in and remember your settings. With your permission we also use analytics cookies to understand how the site is used. See our privacy policy or fine-tune this anytime at cookie settings.

SubjectPaid lesson

Conic Section

ClassNotes Team 2 MIN READUPDATED 13 JUN 2026

Further Mathematics S.S.S 3 First Term

WEEK 7

Conic Section

Performance Objectives

Students should be able to:

  1. Recognize the two dimensional equations of parabola, ellipse and hyperbola
  2. 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.

Conic Section

The line Conic Section , a distance of aConic Section  from the y -axis is called the directrix.

The line AF is called the axis of symmetry.

Since

Conic Section

Conic Section

Conic Section

Conic Section

Conic Section

Conic Section

Hence, the equation of the parabola is

Conic Section

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