SOLUTION: The center of an ellipse is the point (-4, 2) and one vertex is at (1, 2). The length of each latus rectum is 4. Find the eccentricity.
Algebra ->
Decimal-numbers
-> SOLUTION: The center of an ellipse is the point (-4, 2) and one vertex is at (1, 2). The length of each latus rectum is 4. Find the eccentricity.
Log On
Question 886570: The center of an ellipse is the point (-4, 2) and one vertex is at (1, 2). The length of each latus rectum is 4. Find the eccentricity. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! The center of an ellipse is the point (-4, 2) and one vertex is at (1, 2). The length of each latus rectum is 4. Find the eccentricity.
***
Given data shows ellipse has a horizontal major axis.
Its standard form of equation: ,a>b, (h,k)=coordinates of center
1/2 length of major axis=5 (center to vertex)
a=5
a^2=25
latus rectum=2b^2/a=4
4a=2b^2
b^2=2a=10
c^2=a^2-b^2=25-10=15
c=√15
eccentricity=c/a=√15/5
(