There are many applications of conic sections to both pure and applied mathematics. We shall mention a few of them. The orbits of planets and satellites are ellipses. Ellipses are used in making machine gears.
Arches of bridges are sometimes elliptical or parabolic in shape. The path of a projectile is a parabola if motion is considered to be in a plane and air resistance is neglected. Parabolas are used in the design of parabolic mirrors, searchlights, and automobile headlights.
Hyperbolas are used in combat in “sound ranging” to locate the position of enemy guns by the sound of the firing of those guns. If a quantity varies inversely as another quantity, such as pressure and volume of Boyle’s law for a perfect gas at a constant temperature, the graph is a hyperbola.
Some astronomical bodies revolve around the sun in hyperbolic path. One of interesting application is if torch light is placed against the wall its reflection on the wall makes hyperbolic curve with wall.