If n is a root of the equation x^2+px+m=0 and m is a root of the equation x^2+px+n=0, where m n, then what is the value of p+m+n?

NDA 2024 Mathematics question

If is a root of the equation and is a root of the equation , where , then what is the value of ?

Answer: (C)

and . Subtracting: $-+p(n-m)-(n-m) = 0

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Question ID VK-029907