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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If x,y,zx, y, z are three real numbers of the same sign then the value of xy+yz+zx\frac{x}{y}+\frac{y}{z}+\frac{z}{x} lies in the interval
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Correct option: B
[3,∞)[3, \infty)
Option B ([3,∞)[3, \infty)) is correct because, by applying the AM-GM inequality, the value of the expression is always greater than or equal to 3.

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