JEE Main Mathematics question

Mathematics Binomial Theorem JEE Main

Statement 1: If , then the sum of the coefficients of powers of in the expansion of the polynomial is . Statement 2: and .

(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)

Solution

Statement 2 is the ratio of consecutive binomial coefficients, , which is true for (for the denominator would be , which is excluded), so it is taken as true. In Statement 1,

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Question ID VK-021141