If the coefficient of `x^2 and x^3` in `(3 + alpha x)^9` are equal. Then value of `alpha` is

If the ratio of the roots of the equation,x^(2)+alpha x+alpha+2=0 is equal to 2, then the value of alpha is: (3)/(2)(b)-(3)/(2)(c)-6 (d) 6

If the ratio of the roots of the equation,x^(2)+alpha x+alpha+2=0 is equal to 2, then the value of alpha is: 3/2 b.-3/2 c.-6 d.6

If the sum of the coefficient in the expansion of (alpha x^(2) - 2x + 1)^(35) is equal to the sum of the coefficient of the expansion of (x - alpha y)^(35) , then alpha =

If the sum of the coefficient in the expansion of (alpha x^(2) - 2x + 1)^(35) is equal to the sum of the coefficient of the expansion of (x - alpha y)^(35) , then alpha =

If the sum of the coefficient in the expansion of (alpha x^(2) - 2x + 1)^(35) is equal to the sum of the coefficient of the expansion of (x - alpha y)^(35) , then alpha =

If the coefficient of x^(14) in the expansion of (4x^(2)+x+1)^(8) is alpha xx4^(beta), then the value of (alpha+beta) is equal to (where alpha and beta are relatively prime to each other and beta>1)

If the sum of the coefficients in the expansion of (alpha^(2)x^(2)-2 alpha x+1)^(51) vanishes, then find the value of alpha .

If the sum of the coefficient in the expansion of (alpha^(2)x^(2)-2 alpha x+1)^(51) vanishes,then find the value of alpha

alpha and beta are the roots of x^2 +2x +c=0 . IF alpha ^3 + beta ^3 =4, then the value of C is