Q2 of 76 Page 26

Write the eccentricity of the ellipse 9x2 + 5y2 – 18x – 2y – 16 = 0

Given the equation of the ellipse is 9x2 + 5y2 - 18x - 2y - 16 = 0.


We need to find the eccentricity.



Given equation can be rewritten as


⇒


⇒


⇒


⇒ .


We know for the ellipse (b2>a2)


⇒


Here and , b2>a2


⇒


⇒


⇒


⇒


∴ The eccentricity is .


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