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Correct option is C)

E is maximum at a point where $dxdE =0$

$dxdE =4πϵ_{0}Q (x_{2}+R_{2})_{3}(x_{2}+R_{2})_{23}⋅(1)−x⋅23 (x_{2}+R_{2})_{21}⋅2x =0$

$⟹(x_{2}+R_{2})−3x_{2}=0$

Thus, $R_{2}=2x_{2}$

$⟹x=±2 R $

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