If x- y and z are positive real numbers such that x-y-z-a thenA- 1-x-1-y-1-z8-27 a3D- a-xa-ya-z-a3

The correct option is B Since AM nbsp;≥ HM x+y+z/3 nbsp;≥ 3/1/x+1/y+1/z ⇒ nbsp;a/3 nbsp;≥ nbsp; nbsp;3/1/x nbsp;+1/y nbsp;+1/z nbsp;or ...

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AM,GM,HM Inequality

If x, y and z...

Question

If x, y and z are positive real numbers such that x+y+z=a then

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Solution

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Similar questions

x + y + z = 3

\frac{1}{x} + \frac{1}{y} + \frac{1}{z}

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\sqrt{x^{- 1} y} \times \sqrt{y^{- 1} z} \times \sqrt{z^{- 1} x} = 1

x + y + z = a

(1 - x) (1 - y) (1 - z) \geq k x y z

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