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Which of the following must hold good for the expansion of the binomial x4 + 1/x3)15 ?

(A) There exist a term which is independent of x.

(B) 8 th and 9 th terms of the expansion have the greatest binomial coefficient

(C) Coefficients of x 32 and x -17 are equal

(D) If x =  2 , then number of rational terms in the expansion is 5

1 Answer

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Correct option (B)(C)

Explanation:

(A) for the term independent of x, 60 - 7r = 0 

⇒ r is not an integer 

∴ there is no term independent of x.

(B)  n = 15 is odd

 for rational terms r = 0, 2, 4, 6, ....... 14

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