The length of the minor axis (along \( y \)-axis) of an \( \mathrm{...

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The length of the minor axis (along \( y \)-axis) of an
\( \mathrm{P} \) ellipse in the standard form is \( \frac{4}{\sqrt{3}} \). If this ellipse

W touches the line, \( x+6 y=8 \); then its eccentricity is:
(1) \( \frac{1}{3} \sqrt{\frac{11}{3}} \)
(2) \( \frac{1}{2} \sqrt{\frac{5}{3}} \)
(3) \( \sqrt{\frac{5}{6}} \)
(4) \( \frac{1}{2} \sqrt{\frac{11}{3}} \)
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