+0  
 
0
39
1
avatar

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 \[\frac{(y - k)^2}{a^2} - \frac{(x - h)^2}{b^2} = 1,\]where $a, b > 0.$ Find $h + k + a + b.$

 Mar 11, 2021
 #1
avatar
0

h + k + a + b = -13/8.

 Mar 21, 2021

24 Online Users

avatar
avatar