PPT-CONIC SECTIONS ELLIPSE

PARABOLA AND HYPERBOLA ARE CALLED CONIC SECTIONS BECAUSE THESE CURVES APPEAR ON THE SURFACE OF A CONE WHEN IT IS CUT BY SOME TYPICAL CUTTING PLANES Section Plane Through Generators. Example 2: Find the coordinates of the center, vertices, foci, and the equations of the asymptotes of the hyperbola given by . We know that the standard equations of the hyperbola are as follows: , Eccentricity – . The ratio of distances. . It basically tells how close a conic section is to being a circle.. In a parabola: . . e. . = 1. In an ellipse or hyperbola:. The . ratio between the foci and the vertices. By: Amanda Anthony . Staci . Fetterman. Nicole Lloyd. Ashley Morgan. Definition. An ellipsis is a series of three points with spaces between them(. . .) inserted into a quotation to indicate the omission of material from the original quotation.. Spring 2010. Math . 2644. Ayona Chatterjee. Conic sections result from intersection a cone with a plane.. PARABOLAS. A parabolas is the set of points in a plane that are equidistant from a fixed point F (called the focus) and a fixed line (called the directrix).. Conic sections will be defined in two different ways in this unit.. The set of points formed by the intersection of a plane and a double-napped cone.. The set of points satisfying certain conditions in relationship to a fixed point and a fixed line or to two fixed points. OTHER VIEW OF CONIC SECTIONS. THE CIRCLE. CONIC SECTION – THE CIRCLE. Equation for a Circle. Standard Form: x² + y² = r². You can determine the equation for a circle by using the distance formula then applying the standard form equation.. Find the equation of the conic section using the given information. Ellipse: co-vertices . and foci .  . Find the equation of the conic section using the given . information.. Circle: center (-4,5) and tangent to the y-axis. 11.1 - An . Introduction. Conic Sections - Introduction. A conic is a shape generated by intersecting two lines at a point . (vertex) and . rotating one line . (generator) around . the other . (axis) while . Dr. Shildneck. Fall, 2014. The Ellipse. An ellipse is a locus of points such that the sum of the distances between two fixed points (called the foci) is always the same.. The axis that runs through the longer part of the ellipse is called the major axis. The points at the ends of the major axis are called the vertices.. Section 11.6 – Conic Sections. Parabola – set of points in a plane that are equidistant from a fixed point (. d(F, P). ) and a fixed line (. d (P, Q). ).. Focus - the fixed point of a parabola.. Directrix - the fixed line of a parabola.. Algebra 2. Chapter 9. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Robert Davidson and Bob Gardner Department of Mathematics and Statistics East Tennessee State University. Online at: . http://www.etsu.edu/math/gardner/stooges/Stooges-Trig-2012.ppt. THE CIRCLE. CONIC SECTION – THE CIRCLE. Equation for a Circle. Standard Form: x² + y² = r². You can determine the equation for a circle by using the distance formula then applying the standard form equation.. Sections of a right cone. The Conics in everyday life. Terminology. Conics . as plane . loci - Problems. Double Hyperbola. Conics as plane loci. Four Conic Sections. Conics in a rectangle. More Problems.