InterviewSolution
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InterviewSolution
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Consider the expansion `(x^(2)+(1)/(x))^(15)`. Consider the following statements: 1. There are 15 terms in the given expansion. 2. The coefficient of `x^(12)` is equal to that of `x^(3)`. Which of the above statements is/are correct ?A. 1 onlyB. 2 onlyC. Both 1 and 2D. Neither 1 nor 2 |
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Answer» Correct Answer - B 1. W e know that, `(a+b)^(n)` have total (n + 1) number of terms So, `(x^(2)+(1)/(x))^(15)` have 16 terms. Hence, Statement 1 is false. 2. For coefficient of `x^(12)` `30-3r = 12 rArr r = 6 rArr .^(15)C_(6)` and for coefficient of `x^(3)`, `30 - 3r = 3 rArr r = 9 rArr .^(15)C_(9) .^(15)C_(6) = .^(15)C_(9)` Hence, statement 2 is correct. |
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