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If x, y, and z are arithmetic, geometric, and harmonic means respectively of two distinct position numbers, then A. z z > y

If x, y, and z are arithmetic, geometric, and harmonic means respectively of two distinct position numbers, then
A. z < y < x B. x < y < z C. x < z < y D. x > z > y

Grade:Upto college level

1 Answers

Latika Leekha
askIITians Faculty 165 Points
7 years ago
The relation between A.M., G.M. and H.M of two positive numbers is
A\geq G\geq H
Here the numbers are two distinct positive numbers, hence the relation becomes
A> G> H
Now A.M is x, G.M. is y and H.M. is z, so the relation becomes
x> y> z
The correct option is (A) i.e. z<y<x.
Thnaks& Regards
Latika Leekha
askIITians Faculty

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