Question

The equation of the ellipse with foci at \((\pm 3,0)\) and the eccentricity as \(1/3\) is:

• A. \(\frac{x^2}{81}+\frac{y^2}{72}=1\)
• B. \(\frac{x^2}{9}+\frac{y^2}{8}=1\)
• C. \(\frac{x^2}{8}+\frac{y^2}{9}=1\)
• D. \(\frac{x^2}{3}+\frac{y^2}{2}=1\)

Hint:

For ellipse with foci \((\pm c,0)\), use \(e=\frac{c}{a}\) and \(b^2=a^2-c^2\).

Answer 1

The Correct Option is A