Ellipses and Circles

 

Locus

a locus (plural: loci) is a set of points whose location satisfies or is determined by one or more specified conditions.

A locust eats plants.

 

 

Ellipse

An ellipse is the set of points drawn out when the sum of the distances of two fixed points, the focii , are constant for any point.

An ellipse with centre ( 0 , 0 ) has equation

 

Example

Draw the ellipse defined by the equation

Solution