Question

Given the ellipse (x-4)^2/169+(y+8)^2/100=1 and the hyperbola x-4)^2/169+(y+8)^2/100=1, which has a greater eccentricity value?

Answer 1

all ellipses have eccentricity less than 1
all hyperbolas have eccentricity greater than 1
(x-4)^2/169+(y+8)^2/100=1 <--- is not a hyperbola

Answer 2

so the answer is?

Answer 3

http://upload.wikimedia.org/wikipedia/en/math/a/8/4/a84b5d431ce0a73df49883789f1229de.png
use this formula to calculate for this type of equation
http://upload.wikimedia.org/wikipedia/en/math/a/d/d/add7be4b380e1f42c44809a08d18f1e3.png

Answer 4

compare and calculate ... it's not that difficult