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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.

 

Thank you for your help!

 Apr 19, 2019
 #1
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o+3.1+0.5+0.25=3.58

 

laugh

 Apr 20, 2019
 #2
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Thank you!

Guest Apr 20, 2019

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