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Derive Equations of Ellipses and Parabolas Practice Test

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Q1

A hyperbola is the set of all points $P(x,y)$ such that the absolute value of the difference of distances from $P$ to two foci is constant. The foci are $F_1(0,-5)$ and $F_2(0,5)$, and for every point on the hyperbola, $|PF_2-PF_1|=6$. Which equation represents the hyperbola?

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