Increasing xy-Term Problem: Here are four conic section equations that differ only in

Chapter 12, Problem 23

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Increasing xy-Term Problem: Here are four conic section equations that differ only in the coefficient of the xy-term. Identify each conic with the help of the discriminant. Plot all four graphs on the same screen. What graphical feature do you notice is the same for all four? How can you tell algebraically that your graphical observation is correct? a. x2 + y2 10x 8y + 16 = 0 b. x2 + xy + y2 10x 8y + 16 = 0 c. x2 + 2xy + y2 10x 8y + 16 = 0 d. x2 + 4xy + y2 10x 8y + 16 = 0

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