Foremost, you will have to know that when you talk about Conic Sections, it merely means that a Section is obtained from a CONE, by using a plane to Cut|Chop|Intersect|Bisect, name it what you want.
The Cone that we use here is a Right Circular Cone, and its general Equation is given as follows.
What is the General Equation of a Conic Section ?
Conditions required to obtain various CONIC figures
What is a Conic section ?
Can you tell us the shapes|Curves, produced from a Conic section ?
How is the Circle formed from a Cone ?
How is an Ellipse formed ?
How is a Parabola formed ?
How is a Hyperbola formed ?
The Video lesson is Available