SOLUTION: what is the center, Vertices, foci, b MNA, Principal axis, Directrices, Eccentricity, LLR, Lengths of MJA/MNA, and graph of: 1.)4x^2+9y^2+18y-11=0 2.) 9x^2+4y^2-54x-16y+97=0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: what is the center, Vertices, foci, b MNA, Principal axis, Directrices, Eccentricity, LLR, Lengths of MJA/MNA, and graph of: 1.)4x^2+9y^2+18y-11=0 2.) 9x^2+4y^2-54x-16y+97=0       Log On


   

Question 1088187: what is the center, Vertices, foci, b MNA, Principal axis, Directrices, Eccentricity, LLR, Lengths of MJA/MNA, and graph of:
1.)4x^2+9y^2+18y-11=0
2.) 9x^2+4y^2-54x-16y+97=0
3.) 9x^2+4y^2+36x-24y=-36
4.) 25x^2+4y^2=100
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
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

    - General equation of an ellipse
    - Transform a general equation of an ellipse to the standard form by completing the square
    - Identify elements of an ellipse given by its general equation
in this site.

You will find there all necessary instructions, explanations and examples on how to solve such problems.


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".