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For some positive and distinct real numbers x, y and z, if 1/(√y+√z) is the arithmetic mean of 1/(√x+√z) and 1/(√x+√y), then the relationship which will always hold true, is

CAT · 2023 · Quant Slot 1

Question:
For some positive and distinct real numbers x, y and z, if 1/(√y+√z) is the arithmetic mean of 1/(√x+√z) and 1/(√x+√y), then the relationship which will always hold true, is

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√x, √y and √z are in arithmetic progression

√x, √z and √y are in arithmetic progression

y, x and z are in arithmetic progression

x, y and z are in arithmetic progression

Answer: y, x and z are in arithmetic progression

Explanation:

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For some positive and distinct real numbers x, y and z, if 1/(√y+√z) is the arithmetic mean of 1/(√x+√z) and 1/(√x+√y), then the relationship which will always hold true, is

Options

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For some positive and distinct real numbers x, y and z, if 1/(√y+√z) is the arithmetic mean of 1/(√x+√z) and 1/(√x+√y), then the relationship which will always hold true, is

Options

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