In the expansion of `(1+x)^(19)`, the sum of coefficients of the two middle terms is _________

Show that coefficient of the middle term of (1+ x)^(2n) is equal to the sum of the coefficients of two middle terms of (1+x)^(2n-1) .

In the binomial expansion of (1+x)^34 , the coefficients of the (2r-1)th and the (r-5)th terms are equal. Find r.

In the expansion of (3^(-x//4)+3^(5x//4))^n the sum of binomial coefficient is 64 and term with the greatest binomial coefficient exceeds the third by (n-1) , the value of x must be 0 b. 1 c. 2 d. 3

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)

If the number of terms in the expansion of (1-2/x+4/(x^(2)))^n x ne 0 , is 28 , then the sum of coefficient of all the terms in this expansion, is

If the sum of the coefficient in the expansion of (alpha x^(2) - 2x + 1)^(35) is equal to the sum of the coefficient of the expansion of (x - alpha y)^(35) , then alpha =

If the greatest term in the expansion of (1+x)^(2n) has the greatest coefficient if and only if xepsilon(10/11, 11/10) and the fourth term in the expansion of (kx+ 1/x)^m is n/4 then find the value of mk.

Statement-I : In the expansion of (1+ x)^n ifcoefficient of 31^(st) and 32^(nd) terms are equal then n = 61 Statement -II : Middle term in the expansion of (1+x)^n has greatest coefficient.