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What does ellipse mean?
We will define the ellipse using its graph.
Answer: Basically, an ellipse is a part of the conic segment which is the intersection of a cone with a plane and it must not intersect the cone's base. Ellipse is basically the locus of a plane point in such a way that its distance from a fixed point has a constant ratio of e to its distance from a fixed line (less than 1).
Let's understand the ellipse.
The properties of an ellipse can be given as,
- Usually, an ellipse looks like a squashed circle and an ellipse is the locus of all points in a plane such that the sum of their distances from two fixed points in the plane, is constant.
- The two fixed points of the ellipse are called the foci or focal points, which are surrounded by the curve.
- The fixed-line of an ellipse is known as directrix and the constant ratio is known as the eccentricity of the ellipse.
- The eccentricity values of all ellipses are greater than or equal to zero and less than one and eccentricity is denoted by 'e'.
- In all ellipses, there is a center and a major and minor axis.
The general formula of ellipse or ellipse equation can be given as, (x2)/(a2) + (y2)/(b2) = 1
Another standard form or ellipse equation is given as, where a>b is (x2)/(b2) + (y2)/(a2) = 1
Hence, the ellipse is the locus of a plane point in such a way that its distance from a fixed point has a constant ratio of e to its distance from a fixed line (less than 1).