`(sin alpha) x^2 -2x+a-2 ge 0` for all `a le 1`, find possible values of a.

If (sin alpha) x^(2) - 2 x + b gt 2 for all the real values of x le 1 and alpha in (0, pi//2) cup (pi//2,pi) , then the possible real values of b is/are

if allvalues of x which satisfies the inequality log _((1//3))(x ^(2) +2px+p^(2) +1) ge 0 also satisfy the inequality kx ^(2)+kx- k ^(2) le 0 for all real values of k, then all possible values of p lies in the interval :

if allvalues of x which satisfies the inequality log _((1//3))(x ^(2) +2px+p^(2) +1) ge 0 also satisfy the inequality kx ^(2)+kx- k ^(2) le 0 for all real values of k, then all possible values of p lies in the interval :

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 lt 0 AA x in [1, 2] then find set of all possible values of a

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

Let f(1)= -2 and f'(x ) ge 4.2 for 1 le x le 6 . The possible value of /(6) lies in the interval:

Find all possible values of (x^2+1)/(x^2-2) .

Find all possible values of (x^2+1)/(x^2-2) .