If the length of the major axis of the ellipse x 2 a 2 + y 2 b 2 = 1 is three times the length of minor axis, its eccentricity is

Question

If the length of the major axis of the ellipse x 2 a 2 + y 2 b 2 = 1 is three times the length of minor axis, its eccentricity is, 1 3, 1 3, 2 3, 2 2 3

MARKS App · Accepted Answer

We have x 2 a 2 + y 2 b 2 = 1 Given, Length of the major axis = 3 Length of the minor axis ⇒ 2 a = 3 2 b ⇒ a = 3 b Now, e = 1 - b 2 a 2 ⇒ e = 1 - b 2 9 b 2 ⇒ e = 1 - 1 9 = 8 3 = 2 2 3

Search any question & find its solution

Looking for more such questions to practice?