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InterviewSolution
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Consider the expansion `(x^(2)+(1)/(x))^(15)`. What is the ratio of coefficient of `x^(15)` to term independent of x in the given expansion ?A. 1B. `1//2`C. `2//3`D. `3//4` |
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Answer» Correct Answer - A For coefficient of `x^(15)` 30 - 3r = 15 `rArr r = 5` `therefore` the coefficient of `x^(15)` is `.^(15)C_(5)`. and coefficient of independent of x is 30 - 3r = 0 `rArr r = 10` So, coefficient of independent of x is `.^(15)C_(10)`. `therefore` Required ratio `=(.^(15)C_(5))/(.^(15)C_(10))=(.^(15)C_(5))/(.^(15)C_(5))=1" "(because .^(n)C_(r)=.^(n)C_(n-r))` |
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