0

Guest

Courses New

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
9 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

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More