2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Binomial Theorem and Mathematical Induction

JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank General term, Coefficient of any power of x, Independent term, Middle term and Greatest term and Greatest coefficient

  • question_answer
    The ratio of the coefficient of terms \[{{x}^{n-r}}{{a}^{r}}\]and \[{{x}^{r}}{{a}^{n-r}}\] in the binomial expansion of \[{{(x+a)}^{n}}\]will be

    A) \[x:a\]

    B) \[n:r\]

    C) \[x:n\]

    D) None of these

    Correct Answer: D

    Solution :

    Ratio of coefficient of \[{{x}^{n-r}}{{a}^{r}}\]and \[{{x}^{r}}{{a}^{n-r}}\]is    = \[\frac{^{n}{{C}_{r}}}{^{n}{{C}_{n-r}}}=\frac{^{n}{{C}_{r}}}{^{n}{{C}_{r}}}=\frac{1}{1}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner