A quadratic equation `f(x)=a x^2+b x+c=0(a != 0)` has positive distinct roots reciprocal of each ether. Then

If quadratic equation f(x)=x^(2)+ax+1=0 has two positive distinct roots then

If quadratic equation f(x)=x^(2)+ax+1=0 has two positive distinct roots then

If the equation x^(3)-3ax^(2)+3bx-c=0 has positive and distinct roots, then

If the equation x^(3)-3ax^(2)+3bx-c=0 has positive and distinct roots, then

The quadratic equation (x-a) (x-b)+ (x-b)(x-c) + (x-c) (x-a) =0 has equal roots, if

The quadratic equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 has equal roots if

Suppose a, b, c are real numbers, and each of the equations x^(2)+2ax+b^(2)=0 and x^(2)+2bx+c^(2)=0 has two distinct real roots. Then the equation x^(2)+2cx+a^(2)=0 has - (A) Two distinct positive real roots (B) Two equal roots (C) One positive and one negative root (D) No real roots

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