If `x+y+z=1`, then the least value of `(1)/(x)+(1)/(y)+(1)/(z)`, isA. 3B. 9C. 27D. 1

If `x+y+z=1`, then the least value of `(1)/(x)+(1)/(y)+(1)/(z)`, isA.

1.	If `x+y+z=1`, then the least value of `(1)/(x)+(1)/(y)+(1)/(z)`, isA. 3B. 9C. 27D. 1
Answer» Correct Answer - B Using `A.M.geH.M.`, we have `((1)/(x)+(1)/(y)+(1)/(z))/(3)ge(3)/(x+y+z)` `implies" "(1)/(x)+(1)/(y)+(1)/(z)ge9` Hence, the least value of `(1)/(x)+(1)/(y)+(1)/(z)` is 9.

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