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# Ellipses and Hyperbola Questions

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1. A certain ellipse is defined by $$PF_1 + PF_2 = d$$.The equation of the ellipse is $$4x^2 - 8x + y^2 + 4y - 8 = 0$$. Find d.

2. Let $$F_1 = \left( -3, 1 - \frac{\sqrt{5}}{4} \right)$$ and $$F_ 2= \left( -3, 1 + \frac{\sqrt{5}}{4} \right)$$. Then the set of points P such that $$|PF_1 - PF_2| = 1$$ form a hyperbola. The equation of this hyperbola can be written as $$\frac{(y - k)^2}{a^2} - \frac{(x - h)^2}{b^2} = 1$$.Find h + k + a + b.

Apr 19, 2019

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+10413
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o+3.1+0.5+0.25=3.58

Apr 20, 2019
#2
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Thank you!

Guest Apr 20, 2019