Let S denotes the set of real values of 'a' for which the roots of the equation `x^2-ax-a^2 = 0` exceeds 'a', then S equals to

IF both the roots of the equation x^2 -6ax+2-2a +9a^2 =0 exceed 3, then

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

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

The values of 'a' for which the roots of the equation x^(2) + x + a = 0 are real and exceed 'a' are

The values of 'a' for which the roots of the equation x^(2) + x + a = 0 are real and exceed 'a' are

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