User:Gowri priya/Sandbox

= CONIC SECTIONS = Conic section is a curve obtained by the intersection of plane with a cone. Depending of the angle of inclinatation of plane, we get three three types of conic sections.If the angle of plane is equal to the angle of cone then it is parabola. If the angle of plane is less than angle of cone then it is ellipse. If the angle of plane is greater than angle of cone then it is hyperbola. Circle is a special case of ellipse.These conic sections have many properties and these properties can be used as a basis for the definition of conic sections.They are eccentricity,focus,directrix.

PARABOLA:

Parabola is a curve where every point on it is equi distance from a point(focus) and a line (directrix). Focus doenot lie on the line. The equation of parabola is y=ax2.

Parabola can be used for satillite dishes,concentrating sunrays to make hotspot.

ELLIPSE:

An ellipse is the set of all points on a plane whose distance from two fixed points to be constant. The equation of ellipse is (x/a)2+(y/b)2=1.

Most real life example of an ellipse is orbiting path of a planet.

HYPERBOLA:

A hyperbola is a curve where the distance of any point from a fixed point(focus) and a fixed line (directrix) are in the same ratio. The equation of hyperbola is (x/a)2-(y/b)2=1.

Lampshade,cooling towers of nuclear reactors are the real life applications of hyperbola.

CIRCLE:

The set of all points on a plane that are fixed distance from the center. The equation of circle is x2+y2=a2.

Wheels of a bicycle, ferries wheel are the real life examples of circles.