If x, y, z are in GP, then which of the following is/are correct? 1. (3x), (3y), (3z) are in AP 2. xyz+ (x), xyz+ (y), xyz+ (z) are in HP Select the correct answer using the code given below.

NDA 2021 Mathematics question

If , , are in GP, then which of the following is/are correct? 1. , , are in AP 2. , , are in HP Select the correct answer using the code given below.

(A)1 onlyCorrect
(B)2 only
(C)Both 1 and 2
(D)Neither 1 nor 2

Answer: (A)

Solution

Since are in GP, , so , i.e. are in AP. Statement 1: , etc. Adding the same constant to each term of an AP gives an AP, so statement 1 is correct. Statement 2: adding the same

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Question ID VK-033613