Apps. and Interpretation for IBDP Maths Ebook 1 | Page 125

Exercise 34
1. The diagram below shows the Voronoi diagram of three restaurants for take-away meals,
A , B and C , in a town, where 1 unit represents 1 km.
(a) Find the area of the Voronoi cell of the restaurant B .
The straight line L is the boundary separating the Voronoi cells of A and C .
[2]
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(b) (i) Find the gradient of L .
(ii) Hence, find the equation of L , giving the answer in slope-intercept
form.
[4]
So Yeon would like to find a restaurant closest to her home to minimize the delivery time
of her meal. The position of her home is at (9, 3) .
(c)
State the reason that she is indifferent from choosing the restaurant B and the
restaurant C .
[1]
www.seprodstore.com
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