The complete set of values of a for which the roots of the equatin `x ^(2) -2 |a+1| x|1 =0` are real is given by :

The complete set of values of a for which the roots of the equatin x ^(2) -2 |a+1| x +1 =0 are real is given by :

Set of values of 'K' for which roots of the quadratic x^(2)-[2K-1)x+K(K-1)=0 are

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

Write the set of values of a'a' for which the equation x^(2)+ax-1=0 has real roots.

Complete set of real values of 'a' for which the equation x^4-2ax^2+x+a^2 -a=0 has all its roots real

Let (sin a) x^(2)+(sin a) x+(1-cos a)=0 . The set of values of a for which roots of this equation are real and distinct is

Write the set of values of ' a ' for which the equation x^2+a x-1=0 has real roots.

Complete set of real values of 'a' for which the equation x^(4)-2ax^(2)+x+a^(2)-a=0 has all its roots real