Answer-If x1, x2,.....xn are non−negative real numbers, then their

Solution For nonnegative real numbers, geometric mean is always less than or equal to arithmetic mean. The condition for equality holds only when all the numbers are identical.

Question

If x1, x2,.....xn are non−negative real numbers,

then their This question obtained (1) Marks:

A Arithmetic mean ≤ Geometric mean

B Geometric mean ≤ Arithmetic mean

C Arithmetic mean = 0.5 (Geometric mean)

D There is no fixed relationship between Arithmetic mean and Geometric mean

E None of these

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