Question

. If the length of the minor axis of an ellipse is 2/3 times the major axis,the eccentricity is: ​

Answer 1

Answer:

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Step-by-step explanation:

Let equation of ellipse be

x^2/a^2 + y^2/b^2 = 1,a>b

According to the question,

2a=3(2b)⇒a=3b

⇒a^2 =9b^2

⇒a^2 =9a^2 (1−e^2)

⇒ 1/9 =1−e^2

⇒e^2 =1−1/9

⇒e= 2√2/3

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