A false balance has equal arms. An object weigh $X$ when placed in one pan and $Y$ when placed in other pan, then the weight $W$ of the object is equal to

  • A

    $\sqrt {XY} $

  • B

    $\frac{{X + Y}}{2}$

  • C

    $\frac{{{X^2} + {Y^2}}}{2}$

  • D

    $\frac{2}{{\sqrt {{X^2} + {Y^2}} }}$

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