Problem 73 - Algebra and Trigonometry

Question

What is an ellipse?

Step-by-Step Solution

Answer

An ellipse is a two-dimensional closed curve resulting from a conic section. It has two axes, one 'major' (longer) and one 'minor' (shorter). Any point on the ellipse has a constant sum of distances from the two foci equal to the length of the major axis.

Step 1: Identifying the shape

An ellipse is a shape that falls under the category of a conic section in Geometry, which means it's shaped from a cone's section. It is a closed curve and is two-dimensional.

Step 2: Defining the axes

An ellipse has two axes, one longer than the other, creating two focal points. The longer axis is the 'major axis', and the shorter one is the 'minor axis'. The midpoint of these axes is the 'center'.

Step 3: Identifying the relationship

Any point on the ellipse, the sum of the distances from the two foci point is constant and is always equal to the length of the major axis.