If `f(x)=(x-1)(x-2)......(x-10)`, then coefficient of `x^9` is (A) `-55`   (B)`35` (C)`15` (D) `-55`

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

If f(x)=1-x+x^2-x^3++^(15)+x^(16)-x^(17) , then the coefficient of x^2 in f(x-1) is 826 b. 816 c. 822 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

If in the expansion f (1+x)^m(1-x)^n, the coefficient of x and x^2 are 3 and -6 respectively then (A) m=9 (B) n=12 (C) m=12 (D) n=9

The minimum value of (x^2+(250)/x) is (a) 75 (b) 50 (c) 25 (d) 55

The minimum value of (x^(2)+(250)/(x)) is (a) 75 (b) 50(c)25 (d) 55

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

If (x-1)/(x)=3, then the value of 1+(1)/(x^(2)) is (a) 9(b) 10(c)11 (d) None of these

If f(x),g(x) be twice differentiable functions on [0,2] satisfying f''(x)=g''(x)f'(1)=2g'(1)=4 and f(2)=3g(2)=9 then f(x)-g(x) at x=4 equals (A) 0 (B) 10 (C) 8 (D) 2