In a binomial expansion of (x+y)^ 2n+1 (x-y)^ 2n+1 , the sum of middle terms is zero. What is the value of ( x^2 y^2 )?

NDA 2024 Mathematics question

In a binomial expansion of , the sum of middle terms is zero. What is the value of ?

Answer: (A)

The product is , which has terms, so the middle terms are and . and $ =

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Question ID VK-029805