What is the eccentricity of the ellipse if its major axis is twice its minor axis?

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08-11-2016
Physics

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What is the eccentricity of the ellipse if its major axis is twice its minor axis?

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syed514 syed514 · Answer 1 · 2016-11-11T15:21:28+01:00

syed514 syed514

11-11-2016

given major axis is four times its minor axis. so a=4b

eccentricity, e = square root of (a^2-b^2) / a
= square root of ((4b)^2-b^2) / (4b)
= square root of (15b^2) / (4b)
= √15 b/(4b)
= √15/4 = 0.968

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