Abstract

This chapter discusses conic sections. Parabolas, ellipses, circles, and hyperbolas are called conic sections—the lines along which a flat plane intersects a right circular cone. By definition, a right circular cone is the surface generated by rotating one straight line about another straight line, intersected at an oblique angle. A parabola is defined as the locus of points in a plane equidistant from a given point, called its focus, and from a given line, called its directrix. Any straight line from the focus to the parabola is called a focal radius. Any straight line joining two points on the parabola and passing through the focus is called a focal chord. The focal chord that is perpendicular to the axis is called the latus rectum of the parabola. As is indicated by the broken lines in the diagram, a parabola is an open curve. The chapter highlights the parabola formulae and also describes various applications of parabola formulae.

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