Lec 13 Fig 1: Foci of a hyperbola

Author:
Joseph Lo
Topic:
Hyperbola
A hyperbola is a locus of points \(A(x,y)\) whose difference of its distances from two fixed points \(F_1\) and \(F_2\) (called the foci, located at \((c,0)\) and \((-c,0)\) in the diagram) is constant (\(K\) in the diagram). The following diagram shows all possible locations of \(A\) in that locus. Try to adjust the values \(c\) and \(K\) and move the point \(A\) to see the locus.