If p^x=q^y=r^z, where x, y and z are in GP, then consider the following statements : I. p, q and r are in AP. II. p, q and r are in GP. Which of the statements given above is/are correct?

NDA 2025 Mathematics question

If , where , and are in GP, then consider the following statements : I. , and are in AP. II. , and are in GP. Which of the statements given above is/are correct?

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

Answer: (B)

Solution

Taking logarithms, (say), so , , . Since are in GP, their reciprocals are also in GP, and

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Question ID VK-030132