The Basics

In Geometry, we have talked about the coordinate geometry. The coordinate geometry is about representing and calculating the shapes on a coordinate plane. Now we are going to continue talk about the coordinate system. But this time we are going to mainly talk about the conic sections or the shapes that relate to circle. The main conic sections are Circles, Parabola, Ellipse, and Hyperbola.

The Graphs

A circle is the set of all points in a plane such that the distance (radius) from a given point (center of the circle) is constant. The standard equation of a circle with center (h, k) and radius r is

(x - h)² + (y - k)²= r².

A parabola is the set of all points in a plane that are the same distance from a given point (focus) as they are from a given line (directrix). The parabola is actually a quadratic equation. The standard form of the equation of a parabola is

y - k = a(x – h)²

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