Find the greatest value of $x y z$ for point values of $x, y, z$ subject to the condition $x y + y z + z x = 12$ .

64

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8

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16

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32

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Solution

The correct option is B $8$
By hit and trial method taking $x = y = z = 2$ ,
we get $x y + y z + z x = 12$
and $x y z = 8$ .

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