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

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 the sum of the squares of the roots of the equation x^2 - ( sin alpha - 2)x-(1 + sin alpha ) = 0 is least , then alpha =

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

The value of alpha , for which the equation x^2-(sinalpha-2)x-(1+sinalpha)=0 has root whose sum of square is least, is

If alpha and beta are the roots of the equation x^(2) -1 =0 " then " (2alpha)/(beta ) + (2 beta)/(alpha) is equal to ..........

If alpha and beta are the roots of the equations x^2-p(x+1)-c=0 , then (alpha+1)(beta+1)_ is equal to: