Lesson 1 -Intro to Conic Sections.pptx

Conic sections are the curves obtained by intersecting a plane with a double-napped cone (a cone with two identical opposite parts). Depending on the angle and position of the plane relative to the cone, four distinct types of curves can be produced

1. Introduction to Conic Sections Prepared by: Teacher CARL

2. Learning Outcomes At the end of the lesson, the student is able to: (1) illustrate the different types of conic sections: parabola, ellipse, circle, hyperbola, and degenerate cases

3. CONIC SECTION A conic section is the intersection of a plane and a right circular cone with two nappes.

4. CONIC SECTION A degenerate conic is either a point, a circle, or two intersecting lines.

5. CONIC SECTION Circle (Figure 1.1) - when the plane is horizontal Ellipse (Figure 1.1) - when the (tilted) plane intersects only one cone to form a bounded curve. Figure 1.1

6. CONIC SECTION Parabola (Figure 1.2) - when the plane intersects only one cone to form an unbounded curve Figure 1.2

7. CONIC SECTION Hyperbola (Figure 1.3) - when the plane (not necessarily vertical) intersects both cones to form two unbounded curves (each called a branch of the hyperbola) Figure 1.3

8. THANK YOU