If `1` lies between the roots of the equation `3x^2` - (3sin`alpha`) x - 2 cos`alpha` = 0 then `alpha` lies in the interval:

If 1 lies between the roots of the equation 3x^(2)-(3sin alpha)x-2cos alpha=0 then alpha lies in the interval:

Let the roots of the equation 24 x ^(3) -14x ^(2) + kx +3=0 form a geometric sequence of real numbers. If absolute value of k lies between the roots of the equation x ^(2)+alpha ^(2) x -122=0, then the largest integral value of alpha is :

If x in R " and "alpha=(x^(2))/(1+x^(4)) , then alpha lies in the interval

If the sum of the square of the roots of the equation x^(2)-(sin alpha-2)x-(1+sin alpha)=0 is least then alpha is equal to

If I=int_(0)^(2)e^(x^(4))(x-alpha)dx=0 , then alpha lies in the interval

If -1,2,alpha are the roots of the equation 2x^(3)+x^(2)-7x-6=0, then alpha is

If (sin(2 alpha))/(cos(2 alpha))<0 If alpha lies in

If alpha be a root of the equation, 4 x^2 + 2x - 1 =0 , then 4 alpha^3 - 3 alpha is other root.