If a,b,c,d are in HP, then

JEE Main Mathematics question

If are in HP, then

(A)
(B)
(C)Both (a) and (b)Correct
(D)None of these

Answer: (C)

Solution

Take positive terms in HP. Then and both hold (for example : and ; the same holds for the increasing HP ). Checking random positive HPs in both orders confirms both inequalities, so both statements are correct; option

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Question ID VK-021730