For the equation 1 x+a - 1 x+b = 1 x+c , if the product of the roots is zero, then the sum of the roots is

JEE Main Mathematics question

For the equation , if the product of the roots is zero, then the sum of the roots is

Answer: (D)

Clearing fractions, , which gives x^2+2ax+ab+ac-bc=0. Product of roots

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Question ID VK-013470