book Maths Puzzle Numerical Ability

While vacationing in the orient, Sonia spends $200 purchasing ornate chess sets for her figt shop in California. A week later she finds the same chess set selling for $5 less per p

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How are whispering galleries related to conic sections, and could I have an example of a formula that would be used to show a whispering gallery? I need to find the coordinates of the point C, halway between the points A(5,1) and B9-2,7)