- [Maximum mark: 7]
Consider the Voronoi diagram which shows the sites A(3, 3), B(10, 5), C(7, 2), D(5, 9), E(1, 5) and F(6, 5). The diagram also shows the cells formed by each site and their boundaries. A figure is provided showing the Voronoi diagram on a Cartesian plane with sites A, B, C, D, E, and F plotted.
Vertex X is equidistant from sites B, C and F.
(a) (i) Write down the coordinates of X.
(ii) The exact value of BX is √n. Write down the value of n. [2]
Vertex Y(a, b) is equidistant from sites B, D and F.
(b) (i) Write down the value of a.
(ii) Find the exact value of b. [5]