Consider the quadratic equation `az^(2)+bz+c=0` where `a,b,c` are non-zero complex numbers. Now answer the following.
The condition that the equation has both roots purely imaginary is

Consider the quadratic equation az^(2)+bz+c=0 where a,b,c are non-zero complex numbers. Now answer the following. The condition that the equation has one complex root alpha such that |alpha|=1 , is

Consider the quadratic equation az^(2)+bz+c=0 where a,b,c and non-zero complex numbers. Now answer the following: Q. The condition that the equation has one complex root alpha such that |alpha|=1 , is

Consider a quadratic equation az^2 + bz + c =0 where a, b, c, are complex numbers. Find the condition that the equation has (i) one purely imaginary root (ii) one purely real root (iii) two purely imaginary roots (iv) two purely real roots

Consider a quadratic equation az^(2)bz+c=0, where a,b and c are complex numbers. The condition that the equation has one purely imaginary root , is

Consider a quadratic equaiton az^(2) + bz + c=0 , where a,b,c are complex number. The condition that the equaiton has one purely real roots is

Consider a quadratic equaiton az^(2) + bz + c=0 , where a,b,c are complex number. The condition that the equaiton has one purely real roots is

Consider a quadratic equation az^2+bz+c=0, where a,b and c are complex numbers. The condition that the equation has one purely real root, is

Consider a quadratic equaiton az^(2) + bz + c=0 , where a,b,c are complex number. If equaiton has two purely imaginary roots, then which of the following is not ture.

Consider a quadratic equaiton az^(2) + bz + c=0 , where a,b,c are complex number. If equaiton has two purely imaginary roots, then which of the following is not ture.

If roots of the equation z^(2)+az+b=0 are purely imaginary then