On focal distances of ellipse revelation of hidden properties

Ellipse is one of the conic sections. It is an elongated circle. It is the locus of a point that moves in such a way that the ratio of its distance from a fixed point (called Focus) to its distance from a fixed line (called Directrix) equals to constant ‘e’ which is less than or equal to unity. According to the Keplar’s law of Planetary Motion, the ellipse has very important role in geometry and the field of Astronomy, since in universe every planet is orbiting its star in an elliptical path and its star is as one of the foci. The objective of this research article is to establish few new theorems for mathematical properties for focal distances, focal chords. Totally 27 properties as theorems have been defined and proved with necessary derivations & drawings. The mathematical expressions of each theorem have also been given. These theorems will be very useful as reference to the research scholars to higher level research works in Geometry.