If the largest interval to which x belongs so that the greatest therm in `(1+x)^(2n)` has the greatest coefficient is `(10/11, 11/10)` then n= (A) 9 (B) 10 (C) 11 (D) none of these

The interval in which x must lie so that the greatst term in the expansion of (1 +x)^(2n) has the greatest coefficient,is

The interval in which x must lie so that the numerically greatest term in the expansion of (1 - x)^(21) has the numerically greatest coefficient, is

Show that it the greatest term in the expansion of (1+x)^(2n) has also the greatest coefficient,then x lies between and (n)/(n+1) and (n+1)/(n)

Find the greatest term in (x+y)^(n), when x=11,y=4,n=30

The greatest coefficient in the expansion of (1+x)^(2n) is

In a binomial expansion (x_y)^n gretest term means numericaly greatest term and therefore greatest term in (x-y)^n and (x+y)^n are ame. I frth therm t_r be the greatest term in the expansion of (x+y)^n whose therms are all ositive, then t_rget_(r+1) and t_rget_=(r-1)i.e. t_r/t_mge1 and t_r/t_(r-)ge1 On the basis of above information answer the following question:If rth term is the greatest term in the expansion f (2-3x0^10 then r= (A) 5 (B) 6 (C) 7 (D) none of these

Prove that the greatest coefficient in the expansion of (1+x)^(2n) is double the greatest coefficient in expansion (1+x)^(2n-1)

Show that , if the greatest term in the expansion of (1 + x)^(2n) has also the greatest coefficient then x lies between (n)/(n +1) " and" (n+1)/(n)