The set of exhaustive values of 'a' for which the inequality `(a^2+3)x^2+(a+2)x-4<2` holds of at least one negative x, is

The set of exhaustive values of a for which the equation |ax-2|=2x^(2)+ax+4 has at least one positive root,is

The set of values of 'a' for which the inequality x^(2)-(a+2)x-(a+3)<0 is satisfied by atleast one positive real x,

The true set of values of 'a' for which the inequality int_(a)^(0)(3^(-2x)-2*3^(-x))dx>=0 is true is -

The true set of values of 'a' for which the inequality int_(x)^(0)(3^(-2x)-2.3^(-x)) dx ge 0 is true , is

The true set values of 'a' for which the inequal- ity int _(a)^(0)(3^(-2x)-2.3^(-x)) dx ge 0 is true, is

The comlete set of values of m for which the inequality (x ^(2) -mx-2)/( x ^(2) + mx +4)gt-1 is satisfied aa x in R, is :

The set of values of a for which the inequality,x^(2)+ax+a^(2)+6a<0 is satisfied for all x belongs(1,2) lies in the interval:

The exhaustive set of value of 'a' for which the function f(x)=(a)/(3)(x^(3)+(a+2)x^(2)+(a-1)x+2 possess a negative point of minima is (q,oo) The value of q is

The exhaustive values of x for which cot^(2)(sin^(-1)x)>1 ,is

The exhaustive set of values of a for which inequation -(a+1)x+a-1>=0 is true (a-1)x^(2)-(a+1)x+a-1>=0 is true AA x>2(a)(-oo,1)(b)[(7)/(3),oo)(c)[(3)/(7),oo)