JEE Advanced Mathematics question

are three unequal positive numbers. STATEMENT-1: The product of their sum and the sum of their reciprocals exceeds 9. STATEMENT-2: AM of positive numbers exceeds their HM.

(A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1Correct
(B)Statement-1 is True, Statement-2 is True; Statement-2 is *Not* a correct explanation for Statement-1
(C)Statement-1 is True, Statement-2 is False
(D)Statement-1 is False, Statement-2 is True

Answer: (A)

Solution

For not all equal,

AM = > HM = ⇒ (a+b+c)(1a +

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Question ID VK-110319