Let p= (x), q= (x^3) and r= (x^5), where x>1. Which of the following statements is/are correct? I. p, q and r are in AP. II. p, q and r can never be in GP. Select the answer using the code given below.

NDA 2024 Mathematics question

Let , and , where . Which of the following statements is/are correct? I. , and are in AP. II. , and can never be in GP. Select the answer using the code given below.

(A)I only
(B)II only
(C)Both I and IICorrect
(D)Neither I nor II

Answer: (C)

Solution

With (as ): , , . These have common difference , so they are in AP; I is correct. For a GP

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Question ID VK-029899