Let p, q and 3 be respectively the first, third and fifth terms of an AP. Let d be the common difference. If the product (pq) is minimum, then what is the value of d?

NDA 2021 Mathematics question

Mathematics Application of Derivatives NDA 2021

Let , and 3 be respectively the first, third and fifth terms of an AP. Let be the common difference. If the product is minimum, then what is the value of ?

(A)1
(B)
(C)Correct
(D)

Answer: (C)

Solution

First term , third term , fifth term . So and . Product: . This is a quadratic in

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Question ID VK-033644