Use the information provided to write the general conic form equation of each ellipse.\frac{x^2}{36}+\frac{y^2}{81}=1

kuCAu 2021-08-09 Answered
Use the information provided to write the general conic form equation of each ellipse.
\(\displaystyle{\frac{{{x}^{{2}}}}{{{36}}}}+{\frac{{{y}^{{2}}}}{{{81}}}}={1}\)
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avortarF
Answered 2021-08-10 Author has 20501 answers
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Vasquez
Answered 2021-12-27 Author has 10750 answers

Step 1

\(\frac{x^2}{36}+\frac{y^2}{81}=1\)

\(\frac{81x^2+36y^2}{36+81}=1\)

\(81x^2+36y^2=2916\)

\(9 (9x^2+4y^2)=9 \times 324\)

\(\therefore 9x^2+4y^2-324=0\)

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The conclusion about the values of e for rlliptical equations. The provided equations of conic sections are,

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