If `x^2+2ax+a lt 0 AA x in [1, 2]` then find set of all possible values of a

If x^(2)+2ax+a<0AA x in[1,2] then find set of all possible values of a

If the difference between the roots of the equation x^(2)+ax+1=0 is less then sqrt(5) , then find the set of possible value of a .

If a.3^(tan x)+a*3^(-tan x)-2=0 has real solutions,x!=(pi)/(2),0<=x<=pi, then find the set of all possible values of parameter 'a'.

Let f (x) =-1 +|x-2| and g (x) =1-|x| then set of all possible value (s) of for which (fog) (x) is discontinuous is:

If the roots of the equation x^(2)-8x+a^(2)-6a=0 are real distinct,then find all possible value of a .

The lines x+y=|a| and ax-y=1 intersect each other in the first quadrant. Then the set of all possible values of a is the interval:

If (y^(2)-6y+3)(x^(2)+x+1)lt2x AA x in R, then sum of all integral values of y is