All possible values of a, so that 6 lies between the roots of the equation `x^2 + 2(a-3)x +9 =0`

Value of p, so that 6 lies between roots of the equation x^2+2(p-3)x+9 =0

the set of values of p for which 6 lies between the roots of the equation x^(2)+2(p-3)x+9=0 is

The difference between the roots of the equation x^2-6x- 16 = 0 is:

Let A be the set of values of k for which 2 lies between the roots of the quadratic equation x^(2)+(k+2)x-(k+3)=0 , then A is given by

Let A be the set of values of k for which 2 lies between the roots of the quadratic equation x^(2)+(k+2)x-(k+3)=0 , then A is given by

The nature of the roots of the equations x^(2) - 6x + 9=0 is :

Find all the values of 'a' for which both the roots of the equation (a - 2)x^2 - 2ax + a = 0 lies in the interval (-2,1) .