If a, b, c are in AP, then what is vmatrix x+1&x+2&x+3 +2&x+3&x+4 +a&x+b&x+3 vmatrix equal to?

NDA 2023 Mathematics question

If are in AP, then what is equal to?

Answer: (B)

Reading the last entry as (the question says are in AP): apply . The first column becomes

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Question ID VK-029544