Conic Sections

Conic sections are formed when

Conic sections are formed when a plane intersects a double-napped right circular cone at different angles. When β = 90°, we get a circle. When α < β <

A circle is the set

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

A parabola is the set

A parabola is the set of all points equidistant from a fixed point (focus) and a fixed line (directrix). The standard equations are: y² = 4ax (opens r

An ellipse is the set

An ellipse is the set of all points where the sum of distances from two fixed points (foci) is constant. The standard equation is x²/a² + y²/b² = 1 (w

A hyperbola is the set

A hyperbola is the set of all points where the difference of distances from two fixed points (foci) is constant. The standard equation is x²/a² - y²/b