If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal, then which one of the following is correct?

NDA 2019 Mathematics question

If the roots of the equation are equal, then which one of the following is correct?

Answer: (C)

The coefficients add up to 0, so is a root; with equal roots both are 1, and the product of roots is 1: $ = 1

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Question ID VK-029057