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 coefficient of \[{{x}^{5}}\] in the expansion of \[{{(x+3)}^{6}}\] is  [DCE 2002]

    A) 18

    B) 6

    C) 12

    D) 10

    Correct Answer: A

    Solution :

    \[{{T}_{r+1}}={}^{6}{{C}_{r}}{{x}^{6-r}}{{3}^{r}}\] This contains \[{{x}^{5}}\] if 6 - r = 5 \[\Rightarrow r=1\] Coefficient of \[{{x}^{5}}{{=}^{6}}{{C}_{1}}{{3}^{1}}=18.\]


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