IIT-JEE 2004 Screening and Mains marks vs AIR extrapolation graphs are online now. The extrapolation technique being statistical works better as the sample size increases. Hence, the graphs must be taken as approximations only. Here is the URL:
If the sum of the coefficients in the expansion of $(x+y)^n$ is 4096, then the greatest coefficient in the expansion is _ _ _ _ . Solution $C_0 + C_1 + C_2 + C_3 + ......................... + C_n =4096 $ $\therefore 2^n = 4096 =2^{12} $ $\Rightarrow n = 12 $ Greatest coefficient = ${}^{12}{C_6} = 924$