The coeficient of `t^(4)` in the expansion of `((1-t^(6))/(1-t))^(3)` is

Find the coefficient of t^8 in the expansion of (1+2t^2-t^3)^9 .

Find the coefficient of t^8 in the expansion of (1+2t^2-t^3)^9 .

The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 (c) 9 (d) 15

If the coefficients of the (2r+4)t h ,(r-2)t h term in the expansion of (1+x)^(18) are equal, then the value of r is.

The the term independent in the expansion of [(t^(-1)-1)x+(t^(-1)+1)^(-1)x^(-1)]^8 is

If T_2/T_3 in the expansion of (a + b)^n and T_3/T_4 in the expansion of (a + b)^(n+3) are equal, then n is equal to

The coefficients of (r-1)^(t h),\ r t h\ a n d\ (r+1)^(t h) terms in the expansion of (x+1)^n are in the ratio 1:3:5. Find n\ a n d\ rdot

The eccentricity of the conic x=3((1-t^(2))/(1+t^(2))) and y=(2t)/(1+t^(2)) 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

The value of (T_(3))/(T_(1)) is