If `ax^(2)-2x+1>0` for atleast one positive real `x,` then set of all values of `a` is

If tan^(2)x+secx -a = 0 has atleast one solution, then complete set of values of a is :

If both the roots of the equation x^(2)+(a-1) x+a=0 are positive, the the complete solution set of real values of a is

If f(x)=x^(2)+2ax+10-3a is negative for atleast one real x .Then complete set of 'a' is

If the inequality k x^2-2x+kgeq0 holds good for atleast one real ' x ' then the complete set of values of ' k ' is

If 9-x^(2)>|x-a| has atleast one negative solution,where a in R then complete set of values of a is

If all roots of the equation x^(3)+ax^(2)-ax-1=0 are real and distinct,then the set of values of a is

If the two roots (a-1)(x^(4)+x^(2)+1)+(a+1)(x^(2)+x+1)^(2)=0 are real and distinct,then the set of all values of 'a ' is.....

Consider the equation x^(4)+2ax^(3)+x^(2)+2ax+1=0 where a in R Also range of function f(x)=x+(1)/(x) is (-oo,-2]uu[2,oo) If equation has at least two distinct positive real roots then all possible values of a are