Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If the sum of the coefficients in the expansion of   is 4096, then the greatest coef

If the sum of the coefficients in the expansion of  (x+y)^n is 4096, then the greatest coefficient in the expansion is

Option: 1

1594
 


Option: 2

792
 


Option: 3

924
 


Option: 4

928


Answers (1)

best_answer

Put x=y=1 in (x+y)^n to obtain the sum of the coefficients.

\begin{array}{ll} \therefore & 2^n=4096 \equiv\left(2^4\right)^3 \\ \Rightarrow & n=12 \end{array}

As the number of terms in the expansion of (x+y)^n is odd (n=12),{ }^n C_r \equiv{ }^{12} C_r is the greatest when r \equiv \frac{n}{2}=\frac{12}{2}=6. Hence, the greatest coefficient ={ }^{12} C_6=924.

Posted by

Nehul

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025 Session 2 City Slip (OUT) Live: NTA exam city intimation slip link available; admit card date
anam-khan

AESL expands Aakash Digital 2.0 to offer AI-powered coaching for NEET, JEE, Olympiads
anam-khan

Bihar Board extends BSEB Super 50 free coaching application last date to March 26

Latest Question