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

  1. √x, √y and √z are in arithmetic progression
  2. √x, √z and √y are in arithmetic progression
  3. y, x and z are in arithmetic progression
  4. x, y and z are in arithmetic progression

Correct Answer

y, x and z are in arithmetic progression

Explanation


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