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

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: Greatest term in the expansion of (2+3x0^10, whern x= 3/5 is (A) ^10C_5(18/5)^5 (B) ^10C_6(18/5)^6 (C) ^10C_4(18/5)^4 (D) none of these

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:The set al values of x for which thegreatest term in teh expnsionof (1+x)^30 may have the greatest coefficient is (A) (14/15, 15/14) (B) [15/16,16/15] (C) (15/16,16/15) (D) none of these

Find the greatest term in the expansion of (x+y)^18 when x=2, y=1 .

The ratio of the rth term and the (r+1)th term in the expansion of (1+x)^(n) is

The numerically greatest term in the expansion (5x-6y)^(14) when x=(2)/(5),y=(1)/(2) is

The numerically greatest term in the expansion (2x-3y)^(12) when x=1 and y=(5)/(2) is the

If t_(1) is the rth term in the expansion of (1+x)^(101) , then what is the rato (t_(20))/(t_(19)) equal to ?