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

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Aicharya · Accepted Answer

We have x 2 a 2 + y 2 b 2 = 1 Given, Length&#160;of&#160;the&#160;major&#160;axis = 3 Length&#160;of&#160;the&#160;minor&#160;axis &#8658; 2 a = 3 2 b &#8658; a = 3 b Now, e = 1 - b 2 a 2 &#8658; e = 1 - b 2 9 b 2 &#8658; &#160; e = 1 - 1 9 = 8 3 = 2 2 3

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…

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