Question
Find the vertices, foci, and eccentricity of the ellipse. Thank you.
x^2/16 + y^2/25 = 1
x^2/16 + y^2/25 = 1
Answers
Reiny
a^2 = 16 ---> a=4
b^2 = 25 ---> b = 5
major axis along the y-axis,
vertices (4,0) , (-4,0) , (0,5) , (0, -5)
c^ + 4^2 = 5^2
c = ±3
foci : (0,3) , (0, -3)
e = c/b for an ellipse like that
= 3/5
b^2 = 25 ---> b = 5
major axis along the y-axis,
vertices (4,0) , (-4,0) , (0,5) , (0, -5)
c^ + 4^2 = 5^2
c = ±3
foci : (0,3) , (0, -3)
e = c/b for an ellipse like that
= 3/5