Let `(1 + x^2 + x^3)^(40) = a_0 + a_1 x + a_2 x^2 .....+ a_120 x^(120)`, then number of values of r for which `a_r = 0`, is equal to-

Let (1 + x^2)^2 (1 + x)^n = A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2, are in A.P. then the value of n is

Let (1 + x^2)^2 (1 + x)^n = A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2, are in A.P. then the value of n is

Let (1 + x^2)^2 (1 + x)^n = A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2, are in A.P. then the value of n is

If (1+2x +3x^2)^10 = a_0 +a_1x +a_2x^2 + ……+a_20x^20 then a_2/a_1 =

If (1 - x + x^2)^n = a_0 + a_1 x + a_2x^2 + ..... + a_(2n)x^(2n) then a_0 + a_2 + a_4 + ... + a_(2n) equals

If (1+x)^10 = a0 + a1 x + a2 x^2 + a3 x^3 + a4 x^4 + a5 x^5 + a6 x^6 +.... a10 x^10), then the value of ( a0 - a2 + a4 - a6 + a8 -a10)^2 + (a1 - a3 + a5 -a7 + a9)^2 is :

If (1 +x+x^2)^25 = a_0 + a_1x+ a_2x^2 +..... + a_50.x^50 then a_0 + a_2 + a_4 + ... + a_50 is :

If (1 +x+x^2)^25 = a_0 + a_1x+ a_2x^2 +..... + a_50.x^50 then a_0 + a_2 + a_4 + ... + a_50 is :