Statement 1: The coefficient of x^ 3 +2 in the expansion of (a+x)^ (b+x)^ +1 (c+x)^ +2 N is (a+b+c). Statement 2: The coefficient of x^m in the expansion (a+x)^n is ^nC_ma^ n-m .

JEE Main Mathematics question

Statement 1: The coefficient of in the expansion of is . Statement 2: The coefficient of in the expansion is .

(A)Assertion is True, Reason is True; Reason is correct explanation for Assertion
(B)Assertion is True, Reason is True; Reason is not correct explanation for Assertion
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is TrueCorrect

Answer: (D)

Statement 2 is the binomial theorem: the term in of is , so it is true. The product has degree , so the coefficient of is the sum of the constants

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Question ID VK-021079