Introduction to Conic Sections

In this video and the next few videos, we explore the topic of conic sections. You should already be familiar with equations for the circle, ellipse, parabola and hyperbola from your studies in plane geometry - in which case, you'd already be familiar with conic sections.

A conic section is simple the curve that is formed at the intersection between a flat plane and a cone. I demonstrate how the shapes of the circle, ellipse, parabola and hyperbola are formed depending on the angle that the plane cuts the cone.

A conic section is also formed from the locus of a point on the Cartesian plane under a special set of circumstances where the ratio of the distance of the moving point P, to a fixed point called the focus F, and from point P, to a straight line called the directrix D, is a constant called the eccentricity, e. Please watch the video for a clearer explanation.

Thanks for watching. Please give me a "thumbs up" if you have found this video helpful.

Please ask me a maths question by commenting below and I will try to help you in future videos.

[atharvapatil]

thank you so much! your videos have helped me a lot this week

[Teranova]

How about tell us the angles these are cut at,

[mathlusogin]

What software did you use in this vid sir?