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

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 the equation 4x^(2)-2x+m=0 lie in the interval (-1, 1) , then

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

If exactly one root of the quadratic equation x ^(2) -(a+1 )x +2a =0 lies in the interval (0,3) then the set of value 'a' is given by :

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

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

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 the equation x^2-2ax + a^2-1=0 lie between (-2,2) then a lies in the interval

Let x^2-(m-3)x+m=0 (m epsilon R) be a quadratic equation . Find the values of m for which the roots are (ix)one root is smaller than 2 & other root is greater than 2 (x) both the roots are greater than 2 (xi) both the roots are smaller than 2 (xii)exactly one root lies in the interval (1;2) (xiii) both the roots lies in the interval (1;2) (xiv) atleast one root lies in the interval (1;2) (xv) one root is greater than 2 and the other root is smaller than 1

if x^3+ax+1=0 and x^4+ax^2+1=0 have common root then the exhaustive set of value of a is