The quadratic expression `(2X + 1)^2-pX + q!=0` for any real X, if

The quadratic expression (2x+1)^(2) -px+qne0 for any real x if

The quadratic expression (2x+1)^2-px+qne0 for any real x if

Let f(x) be a quadratic expression possible for all real x. If g(x)=f(x)-f'(x)+f''(x), then for any real x

If p,q,r are + ve and are in A.P., the roots of quadratic equation px^2 + qx + r = 0 are all real for

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

If tan 25^(@) and tan 20^(@) are roots of the quadratic equation x^(2) + 2px + q = 0 , then 2p - q is equal to

If p, q, r are positive and are in AP, the roots of quadratic equation px^(2) + qx + r = 0 are real for :