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Let 0 lt z lt y lt x be three real numbe...

Let `0 lt z lt y lt x` be three real number such that `1/x,1/y,1/z` are in an arithmetic progression and `x , sqrt2 y,z` are in a geometric progression. If `xy+yz+zx=3/sqrt2 xyz`, then `3(x+y+z)^2` is equal to ____

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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