Statement 1: The coefficient of x^n in the binomial expansion of (1-x)^ -2 is (n+1). Statement 2: The coefficient of x^r in (1-x)^ -n when n N is ^ n+r-1 C_r.

JEE Main Mathematics question

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

(A)Assertion is True, Reason is True; Reason is correct explanation for AssertionCorrect
(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 True

Answer: (A)

Statement 2 is the standard result for , so it is true. Putting the exponent in place of and in place of in Statement 2

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Question ID VK-021087