If both the roots of `a x^2+a x+1=0` are less than 1, then find the exhaustive range of values of `adot`

If both the roots of x^(2)+ax+2=0 lies in the interval (0,3), then find the exhaustive range of value of a.

If both the roots of x^(2)-ax+a=0 are greater than 2, then find the value of a .

If the difference between the roots of the equation x^(2)+ax+1=0 is less then sqrt(5) , then find the set of possible value of a .

If the point P(a ,a^2) lies completely inside the triangle formed by the lines x=0,y=0, and x+y=2, then find the exhaustive range of values of a is (A) (0,1) (B) (1,sqrt2) (C) (sqrt2 -1,1) (D) (sqrt2 -1,2)

If both roots of x^(2)-(k-3)x+k=0 are greater than 2, then the range of k is

The difference between the roots of the equation x^(2) + kx + 1=0 is less than sqrt5 ,then the set of possible values of k is

If the difference between the roots of the equation x^2+""a x""+""1""=""0 is less than sqrt(5) , then the set of possible values of a is (1) (-3,""3) (2) (-3,oo) (3) (3,oo) (4) (-oo,-3)