Answer
See explanations.
Work Step by Step
Use the figure given in the Exercise.
(a) The red dots are positions where the additions of the number of circles (rings) from each source is a constant (16). The two sources of circles are the focal points and the red dots fit the definition of an ellipse.
(b) The blue dots are at positions where the difference of number of circle from each source is a constant (8). The two sources of circles are the focal points, and the positions of the blue dots fit the definition of a hyperbola.
