Ellipse and its properties graph calculator

An ellipse is the locus of points on a plane where the sum of the distances from a moving point to two fixed points is a constant and this constant is greater than the straight-line distance between the two points. It can also be defined as the locus of points where the ratio of the distance to a fixed point to the distance to a fixed straight line is a constant less than 1. It is a type of conic section, i.e., the section of a cone and a plane. The ellipse plays an important role in Kepler's three laws of planetary motion, i.e., a star is one of the two foci of an ellipse.

An Ellipse and Its Properties Graph Calculator is an online tool that helps visualize, analyze, and compute key properties of an ellipse on a coordinate plane. It provides insights into the equation, focal points, eccentricity, and other geometric features.

What Is an Ellipse?

An ellipse is a closed curve where the sum of the distances from any point on the ellipse to two fixed points (called foci) is constant. It resembles a stretched-out circle.

Why Use an Ellipse Graph Calculator?

• To graph ellipses and understand their geometric properties.
• To find the equation of an ellipse given specific parameters.
• To calculate properties such as foci, eccentricity, axes lengths, and directrices.
• To solve problems in algebra, geometry, physics, and engineering.