SOLUTION: Find the vertices, foci, eccentricity, and length of the latus rectum of the ellipse whose equation is x^2 plus 9y^2 equals to 9.

Question 901275: Find the vertices, foci, eccentricity, and length of the latus rectum of the ellipse whose equation is x^2 plus 9y^2 equals to 9.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find the vertices, foci, eccentricity, and length of the latus rectum of the ellipse whose equation is x^2 plus 9y^2 equals to 9.
***
x^2+9y^2=9
x^2/9+y^2=1
This is an equation of an ellipse with horizontal major axis with center at the origin.
Its standard form of equation: ,a>b
For given ellipse:
center:(0,0)
a^2=9
a=3
vertices:(0�a,0)=(0�3,0)=(-3,0) and (3,0)
b^2=1
c^2=a^2-b^2=3-1=2
c=√2
foci(0�c,0)=(0�√2,0)=(-√2,0) and (√2,0)
eccentricity=c/a=√2/3
latus rectum=2b^2/a=2/3
RELATED QUESTIONS
Find the foci, eccentricity, length of latus rectum, and the x and y intercepts of the... (answered by MathLover1)

Find the center, vertices, foci and eccentricity of the ellipse... (answered by ikleyn)

Please help me with this! Find the centre, vertices, lenght of latus rectum, foci ,... (answered by ikleyn)

Find the coordinates of the vertices and the foci and the length of the latus rectum of (answered by ewatrrr)

find the answers of the following: ellipse: 4X^2+y^2+8X-4y-92=0 find its... (answered by jsmallt9)

The center of an ellipse is the point (-4, 2) and one vertex is at (1, 2). The... (answered by lwsshak3)

Please help me solve this equation: if the latus rectum of an ellipse is 5 and... (answered by srinivas.g)

Pls help me solve : given the with equation 25x^2+16y^2=400 .find the i) length of the (answered by ikleyn)

Dear Sir/Ma'am Please Help me solve this problem. Find the equation if the Ellipse... (answered by MathLover1)