Question

What does ellipse mean?

Answer 1

Meaning of Ellipse:

An ellipse is a closed symmetric curve like an oval shape. It is formed by cutting the cone by a plane at an angle to the base, so the new base formed is the ellipse.

If it is seen as a 2-dimensional shape in a plane then it a is a locus of all points in a plane such that the sum of their distances from the two fixed points in the plane is always constant. Where the fixed points are called foci. Distance from the fixed points in a plane to any point in a set is called the directrix

The equation of an ellipse is $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ where $a,b$ are the length of the major and the minor axes respectively.

The area of the ellipse is defined as$A=\mathrm{\pi }\times \mathrm{a}\times \mathrm{b}$ where $a,b$ the length of the major and the minor axes respectively.

Thus, an Ellipse is the set of points in a plane such that the sum of their distances from the two fixed points in the plane is always constant. Where the fixed points are called foci