Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XI  >>  Math  >>  Binomial Theorem
0 votes

If A and B are coefficients of $x^r$ and $x^{n-r}$ respectively in the expansion of $(1+x)^n$ then

$\begin{array}{1 1}(A)\;A=B\\(B)\;A\neq B\\(C)\;A=\lambda B\text{ for some }\lambda\\(D)\;\text{None of these}\end{array} $

Can you answer this question?

1 Answer

0 votes
  • Coefficient of $x^k$ in $(1+x)^n=nC_k$
$A$=Coefficient of $x^r=nC_r$
$B$=Coefficient of $x^{n-r}=nC_{n-r}=nC_r$
$\therefore A=B$
Hence (A) is the correct answer.
answered Jun 25, 2014 by sreemathi.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App