The set of values of p for which the equation `|ln x| -px = 0` possess three distinct roots is

The set of values of p for which the equation px^2=ln x possess a single root is

The set of values of p in R for which the equation x^2 +px+ 1/4 (p+2)= 0 will have real roots is

Value of p for which the equation px^2-5x+3=0 has equal roots

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

The range of real values of 'p' for which the equation 2log_3^2 x-|log_3 x| +p = 0 has four distinct solutions is

The set of all positive real values of k, for which the equation x^(3) - 9x^(2) + 24x - k = 0 has three distinct real roots, is the interval :

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

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

The value of p for which the quadratic equation 2px^(2) + 6x + 5 = 0 has real and distinct roots is

Find the set of values o p for which the quadratic equation (p-5)x^(2)-2px-4p=0 has atleast one positive root.