The least integral value of x for which the condition In `(1 + x) > x- x^2/2` satisfies

The least integral value of x for which tan^(-1)x>cot^(-1)x is

The least integral value of x for which 33-x (2+3x )gt 0 is

The least integral value of x for which 33 - x(2 + 3x) gt 0 is

The least integral value of m, m inR for which the range of function f (x) =(x+m)/(x^(2) +1) contains the interval [0,1] is :

The least integral value of m, m inR for which the range of function f (x) =(x+m)/(x^(2) +1) contains the interval [0,1] is :

The least integral value of 'a' for which the equation x^2+2(a - 1)x + (2a + 1) = 0 has both the roots positive, is

The least integral value of x that satisfies 2x + 4 + 3(x-5) gt 7 is

The least integral value of a'a' for which the equation x^(2)+2(a-1)x+(2a+1)=0 has both the roots positive,is

The least integral value of 'a' for which the equation x^(2)-2(a-1)x+(2a+1)=0 has both the roots positive is