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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Understanding +4 | -1
The coefficient of x99x^{99} in the expansion of (x−1)(x−2)……(x−100)(x-1)(x-2) \ldots \ldots(x-100), is
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Correct option: C
−5050-5050
Option C (-5050) is correct because the coefficient of x99x^{{99}} is the negative sum of the roots of the polynomial.

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