JEE Main Mathematics question

Statement 1: are in GP, then are in HP. Statement 2: If middle term is added in three consecutive terms of a GP, resultant will be in HP.

(A)Assertion is True, Reason is True; Reason is correct explanation for AssertionCorrect
(B)Assertion is True, Reason is True; Reason is not correct explanation for Assertion
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is True

Answer: (A)

Solution

Statement 2: for GP terms , adding the middle term gives , whose reciprocals have equal differences , so they are in HP; it is true. Statement 1 is this with

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Question ID VK-021704