Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Questions  >>  CBSE XI  >>  Math  >>  Binomial Theorem
Answer
Comment
Share
Q)

Coefficient of $x^6$ in the expansion $(x+\large\frac{1}{x^2})^6$ is

$\begin{array}{1 1}(A)\;10\\(B)\;15\\(C)\;16\\(D)\;\text{None of these}\end{array} $

1 Answer

Comment
A)
Toolbox:
  • $T_{r+1}=nC_r a^{n-r}b^r$
$T_{r+1}=6C_r x^{6-r} (\large\frac{1}{x^2})^r$
$\Rightarrow 6C_rx^{6-3r}$
$6-3r=6$
$\Rightarrow r=0$
$\therefore T_{r+1}=T_{0+1}$
$\Rightarrow 6C_0 x^6$
$\Rightarrow x^6$
$\therefore$ Coefficient of $x^6=1$
Hence (D) is the correct answer.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...