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HomeCAT PYQsCAT 2023 Slot 1 Question PaperFor some positive and distinct real numbers $$x, y$$ an…
CAT 2023 · Slot 1Quantitative AbilityProgressions and SeriesMEDIUM+3 / −1

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

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