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If x , y, z are positive reals satisfyin...

If x , y, z are positive reals satisfying
` 4xy + 6yz + 8 zx = 9 ` , then the greatest possible
value of the product xyz is

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Statement -1 If x,y,z be real variables satisfying x+y+z=6 and xy+yz+z=8 , the range of variables x,y and z are identical. Statement -2 x+y+z=6 and xy+yz+zx=8 remains same if x,y,z interchange their positions.

Statement -1 If x,y,z be real variables satisfying x+y+z=6 and xy+yz+z=8 , the range of variables x,y and z are identical. Statement -2 x+y+z=6 and xy+yz+zx=8 remains same if x,y,z interchange their positions.