Which of the following is true if A means arithmetic mean and b means geometric mean of two numbers?(a) A>G(b) A≥G(c) G

Which of the following is true if A means arithmetic mean and b means

1.	Which of the following is true if A means arithmetic mean and b means geometric mean of two numbers?(a) A>G(b) A≥G(c) G
Answer» The CORRECT OPTION is (b) A≥G Easiest explanation: We know, A.M. of TWO numbers a and b is (a + b)/2 Also, G.M. of two numbers a and b is \(\sqrt{ab}\) A-G = (a + b)/2 – \(\sqrt{ab} = ((a + b) – 2\sqrt{ab})/2 = (\sqrt{a} – \sqrt{b})^2\) / 2 ≥ 0 So, A≥G.

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Which of the following is true if A means arithmetic mean and b means geometric mean of two numbers?(a) A>G(b) A≥G(c) G

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