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A boy moving along the ellipse (x^(2))/(...

A boy moving along the ellipse `(x^(2))/(32)+(y^(2))/(18)=1` at each and every point on it he is drawing a tangent and finding the area of triangle formed by it with co-ordinate axes.He found that area of triangle is `>=m` and is m at P Q,R and S .
Question: Eccentricity of the ellipse is

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