Find the set of all values of a for which the roots of the equation `x^2-2ax + a^2 + a-3=0` are less than 3,

Let S denote the set of all real values of a for which the roots of the equation x^(2) - 2ax + a^(2) - 1 = 0 lie between 5 and 10, then S equals

If the roots of the equation x^(2)-4ax+4a^(2)+2a-3=0 are real and less than 3, then

The set of values of 'a' for which the roots of the equation (a-3)x^(2) - 2ax + 5a = 0 are positive, is

The set of all values of a for which both roots of equation x^2-ax+1=0 are less than unity is (A) (-oo,-2) (B) (-2,oo) (C) (-2,3) (D) (-oo,-1)

If roots of the equation x^(2)-2ax+a^(2)+a-3=0 are real and less than 3 then a)a 4

Find all values of a for which both roots of the equation x^(2)-6ax+2-2a+9a^(2)=0 are greater then 3.