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 numerically greatest term in the expansion of (1 - x)^(21) has the numerically greatest coefficient, is

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

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)

The median of the data is 10 (b) 11 9 (d) None of these

The greatest coefficient in the expansion of (1 + x)^(10) , is

The greatest coefficient in the expansion of (x+ y+ z + w)^11 is

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 off mk.

The power of x which has the greatest coefficient inthe expansion of (1+x/2)^10

The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at the point (a) (0,1) (b) (1,0) (c) (1,1) (d) none of these