If xi > 0, yi > 0 (i = 1, 2, 3, ...... n) are the values of two variab

1.	If xi > 0, yi > 0 (i = 1, 2, 3, ...... n) are the values of two variable X and Y with geometric mean P and Q respectively, then the geometric mean of X/Y is a. P/Q b. antilog (P/Q)c. n(log P – log Q) d. n(logP + log Q)
Answer» Correct option a. P/Q Explanation: (x₁. x₂ ......x_n)^1/n = P (y₁. y₂ .....y_n)^1/n= Q ((x₁. x₂ ......x_n)/(y₁. y₂ .....y_n))^1/n= (x₁. x₂ ......x_n)^1/n/(y₁. y₂ .....y_n)^1/n = P/Q

If xi > 0, yi > 0 (i = 1, 2, 3, ...... n) are the values of two variable X and Y with geometric mean P and Q respectively, then the geometric mean of X/Y is a. P/Q b. antilog (P/Q)c. n(log P – log Q) d. n(logP + log Q)

Answer»

Correct option a. P/Q

Explanation:

(x₁. x₂ ......x_n)^1/n = P

(y₁. y₂ .....y_n)^1/n= Q

((x₁. x₂ ......x_n)/(y₁. y₂ .....y_n))^1/n= (x₁. x₂ ......x_n)^1/n/(y₁. y₂ .....y_n)^1/n = P/Q

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If xi &gt; 0, yi &gt; 0 (i = 1, 2, 3, ...... n) are the values of two variable X and Y with geometric mean P and Q respectively, then the geometric mean of X/Y is a. P/Q b. antilog (P/Q)c. n(log P – log Q) d. n(logP + log Q)

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If xi > 0, yi > 0 (i = 1, 2, 3, ...... n) are the values of two variable X and Y with geometric mean P and Q respectively, then the geometric mean of X/Y is a. P/Q b. antilog (P/Q)c. n(log P – log Q) d. n(logP + log Q)