Question

The eccentricity of the ellipse 4x² + 9y² + 8x + 36y + 4 = 0 is

• A. $\frac{5}{6}$
• B. $\frac{3}{5}$
• C. $\frac{\sqrt{2}}{3}$
• D. $\frac{\sqrt{5}}{3}$

Answer 1

Answer: (D)

$\frac{\sqrt{5}}{3}$

Answer 2

4x² + 9y² + 8x + 36y + 4 = 0

̃ 4(x² + 2x) + 9(y² + 4y) = – 4

̃ 4(x + 1)² + 9(y + 2)² = – 4 + 4 + 36