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Let the maximum area of the triangle that can be inscribed in the ellipse 1 4 y a x 2 2 2 = + , a > 2, having one or its vertices at one end of the major axis of the ellipse and one of its sides parallel to the y-axis, be 3 6 . Then the eccentricity of the ellipse is -

1. 2 3
2. 2 1
3. 2 1
4. 4 3

Correct answer: 2 3

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