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

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

Find all values of the parameter a for which the quadratic equation (a+1)x^(2)+2(a+1)x+a-2=0 (i) has two distinct roots. (ii) has no roots. (iii) has to equal roots.

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

Consider the quadratic equation (k^(2)-4)x^(2)-(14k+4)x+48=0 has two distinct positive integral roots,then The value of k is

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

Consider quadratic equations x^(2)-ax+b=0 and x^(2)+px+q=0 If the above equations have one common root and the other roots are reciprocals of each other, then (q-b)^(2) equals