Question

The eccentricity of the conic 9x² + 4y² –30y = 0 is

• A. ½
• B. 2/3
• C. ¾
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

On simplifying the equation, we get

$\frac{x^{2}}{a^{2} = (225/36)}$+ $\frac{(y - 15/4)^{2}}{b^{2} = (225/16)}$= 1

which is an ellipse, so e² = $\left( 1 - \frac{b^{2}}{a^{2}} \right)$Ž e = $\frac { 1 } { 3 }$ $\sqrt{5}$