Shape Shape Shape Shape
Ellipse
Chapter Name : Conic Section
Sub Topic Code : 104_11_11_05_05
Topic Name : Ellipse
Sub Topic Name : Latus Rectum
Introduction

Among the several chords of an ellipse that passes through any of the foci, the one that is perpendicular to the major axis is known as Latus Rectum. Its length is 2b2/a for the case of ellipse.

Pre-Requisites:

Linear Equation, Quadratic Equation, Basic coordinate geometry, Equation of line

Real Life Question:

Like parabola, does ellipse also has latus rectum?

Key Words / FlashCards
Key Words Definitions (pref. in our own words)
Ellipse Ellipse is the set of all points in a plane, the sum of whose distances from two fixed points in the plane is a constant.
Focus The fixed points are known as foci (plural of focus).
Latus Rectum Latus rectum of an ellipse is a line segment perpendicular to the major axis through any of the foci and whose end points lie on the ellipse.
Learning aids / Gadgets
Gadgets How it can be used
Real life uses :

If you know the equation of Latus Rectum of an ellipse then you can find the slope of major axis and if you know the center of ellipse too, then you can easily find the equation of major axis.

Practical examples around us
Examples Explainations
What you learn in Theory:

• What is Latus Rectum? • What is its length? • How Latus Rectum and major axis are related?

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