The three types of conic section are thehyperbola, the parabola, and the ellipse. This can be answered in two different contexts, the functional form and the general or object form. These are different in shape, size and various other factors in including formulas that are used to calculate it. When one draws a sketch of the graph of a parabola, it is helpful to draw the chord through the focus, perpendicular to the axis of the parabola. Thus any finite segement of a parabola can be approximated uniformly by hyperbolas, so simply looking at a curve you can never be sure that it's actually a parabola rather than a narrow hyperbola. In order to understand them, let’s first understand the cone and the different conic sections. We know that there are different conics such as a parabola, ellipse, hyperbola and circle. Parabola and hyperbola are two different sections of a cone. mathematically Circle: (x-h)^2+(y-k)^2=r^2 parabola: (x-h)^2=(y-k) ellipse: (x-h)^2/a^2+(y-k)^2/b hyperbola: (x-h)^2/a^2-(y-k)^2/b^2=1 Grapically () Precalculus . Eccentricity of Conic Sections. This chord is called the latus rectum of the parabola. Science Anatomy & Physiology Astronomy Astrophysics Biology Chemistry Earth Science Environmental Science Organic Chemistry Physics Math Algebra Calculus Geometry Prealgebra Precalculus Statistics Trigonometry Humanities … The eccentricity of the conic section is defined as the distance from any point to its focus, divided by the perpendicular distance from that point to its nearest directrix. A conic section (or simply conic) is a curve obtained as the intersection of thesurface of a cone with a plane. The length of the latus rectum is $$|4a|$$. Standard Parabolas Parabola and hyperbola are two different words, sections and equations that are used in mathematics to describe two different sections of a cone. Both parabolas and hyperbolas are an open curve which means that the arms or branches of the curves continue to infinity; they are not closed curves like a circle or an ellipse. Difference Between Parabola and Hyperbola.