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Varying the Coefficients in the equation
Ax2 + By2 = P to Find Hyperbolas

In the Ellipse Module, we found that the equation Ax2 + By2 = P represented an ellipse (that is not a circle) when A B and A and B were the same sign.
What conditions must be put on A and B in order for the equation Ax2 + By2 = P to represent a hyperbola?
Use the action figure and question box below to guide your exploration.

Ax2 + By2 = P

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