If the eccentricity of the ellipse \( \frac{x^{2}}{a^{2}+1}+\frac{y^{2}}{a^{2}+2}=1 \) is \( \fr....

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If the eccentricity of the ellipse \( \frac{x^{2}}{a^{2}+1}+\frac{y^{2}}{a^{2}+2}=1 \) is
\( \mathrm{P} \)
\( \frac{1}{\sqrt{6}} \), then the latus rectum of the ellipse is
(1) \( \frac{5}{\sqrt{6}} \)
(2) \( \frac{10}{\sqrt{6}} \)
(3) \( \frac{8}{\sqrt{6}} \)
(4) none of these
.


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