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If the eccentricity of the ellipse,x^2/(...

If the eccentricity of the ellipse,`x^2/(a^2+1)+y^2/(a^2+2)=1` is `1/sqrt6` then latus rectum of ellipse is

A

`5//sqrt(6)`

B

`10//sqrt(6)`

C

`8//sqrt(6)`

D

none of these

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To solve the problem step by step, we will follow the reasoning presented in the video transcript while providing a clear mathematical approach. ### Step 1: Identify the given equation of the ellipse The equation of the ellipse is given as: \[ \frac{x^2}{a^2 + 1} + \frac{y^2}{a^2 + 2} = 1 \] ...
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