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

If x^2-(a-3)x+a=0 has atleast one positive root then 'a' belong to

If tan^(2)x+secx -a = 0 has atleast one solution, then complete set of values 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 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 9-x^2>|x-a | has atleast one negative solution, where a in R then complete set of 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

Let A is set of all real values of a for which equation x^(2)-ax+1=0 has no real roots and B is set of al real values of b for which f(x)=bx^(2)+bx+0.5gt0AAxepsilonR then AcapB=

If the expression [m x-1+(1//x)] is non-negative for all positive real x , then the minimum value of m must be -1//2 b. 0 c. 1//4 d. 1//2

If the expression ([s in(x/2)+cos(x/2)-i t a n(x)])/([1+2is in(x/2)]) is real, then the set of all possible values of x is.........

If the equation x^(2)+4+3sin(ax+b)-2x=0 has at least one real solution, where a,b in [0,2pi] then one possible value of (a+b) can be equal to