SOLUTION: Find the center, vertices, and foci of the ellipse with equation x^2/400 + y^2/256 = 1.

Question 1094664: Find the center, vertices, and foci of the ellipse with equation x^2/400 + y^2/256 = 1.

Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
.

Center is at (0,0).


Vertices  (-20,0), (20,0),  (0,16)  and  (0,-16).


Ellipse is wider than tall.


Linear eccentricity is  c =  =  = 12.


Foci are at (-12,0)  and  (12,0).

See the lessons
    - Ellipse definition, canonical equation, characteristic points and elements

    - Standard equation of an ellipse
    - Identify elements of an ellipse given by its standard equation
    - Find the standard equation of an ellipse given by its elements
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

RELATED QUESTIONS
Find the center, vertices and foci of the following ellipse: (x + 3)^2/9 + (y +... (answered by funmath)

Find center, vertices, and foci of the ellipse:... (answered by lwsshak3)

6. find the center, vertices, and foci of the ellipse with the following equation: (answered by lynnlo)

Find the foci and vertices of the ellipse with equation... (answered by ewatrrr)

I need to find the foci, the center and the vertices of an ellipse Equation: (x+50)^2/25 (answered by lwsshak3)

Write the standard equation of each ellipse. Find the coordinates of the center,... (answered by stanbon)

Graph the ellipse and find the coordinates of the center vertices and foci.... (answered by Edwin McCravy)

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

find the foci and vertices of the ellipse. x^2 y^2 --+ --=1 144... (answered by lwsshak3)