For some positive and distinct real numbers x, y and z, if \frac{1}{\sqrt{y}+\sqrt{z}} is the arithmetic mean of \frac{1}{\sqrt{x}+\sqrt{z}} and \frac{1}{\sqrt{x}+\sqrt{y}}, then the relationship which will always hold true, is

← CAT 2023 Slot 1 QA

CAT 2023 Slot 1 QA · Question 20

For some positive and distinct real numbers $x, y$ and $z$ , if $\frac{1}{y + z}$ is the arithmetic mean of $\frac{1}{x + z}$ and $\frac{1}{x + y}$ , then the relationship which will always hold true, is

A.
$x, y$ and $z$ are in arithmetic progression
B.
$x, z$ and $y$ are in arithmetic progression
C.
$y, x$ and $z$ are in arithmetic progression
D.
$x, y$ and $z$ are in arithmetic progression

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