You are given a nonrotated ellipse. This ellipse's foci are at (-4, 0) and (4, 0). What must be the value of , such that the length of the red line divided by the length of the orange line equals the length of the green line divided by the length of the yellow line? The yellow and orange lines are both perpendicular to and , respectively. Enter your answer as .
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
By definition, the directrices of an ellipse have the formula x = ± e a , where e is eccentricity. We know that e = a c , where a is half the total length of major axis and c is distance to focus, so we just needed to compute c a 2 , or 4 2 5 , and when we compute what the question asked for, or 1 0 0 ∗ 4 2 5 , we get 6 2 5 .