The coefficient of `x^(49)` in the product `(x-1)(x-3)(x-99)i s` `-99^2` b. `1` c. `-2500` d. none of these

The coefficient of x^70 in the product (x-1)(x^2-2)(x^3-3)....(x^12-12) is

The coefficient of x^(49) in the product (x - 1) (x - 2) (x - 3) ......... (x - 50) is

The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^2).......(x-2^(19)) is 2^(20)-2^(19) b. 1-2^(20) c. 2^(20) d. none of these

The coefficient of x^(10) in the expansion of (1+x^2-x^3)^8 is 476 b. 496 c. 506 d. 528

Fill in the blanks The coefficient of x^(99) in the polynomial (x-1)(x-2)(x-3).....(x-100) is______dot

The coefficient of x^4 in (x//2-3//x^2)^10 is (405)/(256) b. (504)/(259) c. (450)/(263) d. none of these

If f(x)=1-x+x^2-x^3+...+x^(15)+x^(16)-x^(17) , then the coefficient of x^2inf(x-1) is 826 b. 816 c. 822 d. none of these

The coefficient of x^(1274) in the expansion of (x+1)(x-2)^(2)(x+3)^(3)(x-4)^(4)…(x+49)^(49)(x-50)^(50) is

The coefficient of x^4 in the expansion of {sqrt(1+x^2)-x}^(-1) in ascending powers of x , when |x|<1,i s 0 b. 1/2 c. -1/2 d. -1/8

The number of real solutions of the equation (9//10)^x=-3+x-x^2 is a. 2 b. 0 c. 1 d. none of these