are the foci and focus the same?
yes.
k thanks, can you please try to answer my ?'s down below
Foci is the plural of focus.
An ellipse has two foci; a parabola has one. The are also defined differently for the two figures.
No, the terms "foci" and "focus" are not exactly the same, although they are related.
In mathematics, specifically in the study of conic sections, "foci" refers to the plural form of the word "focus." A conic section is a curve created by the intersection of a plane with a cone, and it can be a circle, ellipse, parabola, or hyperbola. The foci of a conic section are special points associated with that curve.
To determine the foci of a conic section, you need to know the shape of the curve and certain properties. For example, the foci of an ellipse are the two points on the major axis, whereas the foci of a hyperbola are two points lying on the transverse axis.
To find the foci of a conic section, you typically need to manipulate its equation using algebraic techniques or geometric properties. The specific method will depend on the type of conic section and the available information.
So, in summary, "foci" refers to the special points associated with a particular conic section, while "focus" refers to a single point within that curve. The notation "foci" is used because many conic sections have two foci.