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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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For the equation 1x+a−1x+b=1x+c\frac{1}{{x + a}} - \frac{1}{{x + b}} = \frac{1}{{x + c}}, if the product of the roots is zero, then the sum of the roots is
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Correct option: D
−2bcb+c- \frac{{2bc}}{{b + c}}
Option D (−2bcb+c\frac{{ - 2bc}}{{b + c}}) is correct because solving the equation and using the condition that the product of roots is zero leads to the given sum of roots.

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