For what real values of k both the roots of equation `x^2+2(k-3)x+9=-0` lie between -6 and 1.

For what real values of a do the roots of the equation x^2-2x-(a^2-1)=0 lie between the roots of the equation x^2-2(a+1)x+a(a-1)=0.

The value of a for which both the roots of the equation (1-a^(2))x^(2)+2ax-1=0 lie between 0 and 1, will always be greater than

For what values of k are the roots of the equation kx^(2)+4x+k=0 real and unequal ?

Set of values of 'a' for which both roots of the equation x^(2) - 2x - a^(2) = 0 lie between the roots of the equation x^(2) - 2x + a^(2) - 11a + 12 = 0 , is

Statement-1: There is a value of k for which the equation x^(3) - 3x + k = 0 has a root between 0 and 1. Statement-2: Between any two real roots of a polynomial there is a root of its derivation.

If both the roots of the equation 4x^(2)-2x+m=0 lie in the interval (-1, 1) , then

The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

For what values of m epsilonR , both roots of the equation x^(2)-6mx+9m^(2)-2m+2=0 exceed 3?

Number of integral value (s) of k for which the equation 4x^(2)-16x+k=0 has one root lie between 1 and 2 and other root lies between 2 and 3, is

Number of non-negative integral values of 'k' for which roots of the equation x^(2)+6x+k=0 are rational is-