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

The quadratic equation ax^(2)+bx+c=0 has real roots if:

The quadratic equation p(x)=0 with real coefficients has purely imaginary roots. Then the equation p(p(x))=0 has A. only purely imaginary roots B. all real roots C. two real and purely imaginary roots D. neither real nor purely imaginary roots

Let x_(1),x_(2) are the roots of the quadratic equation x^(2) + ax + b=0 , where a,b, are complex numbers and y_(1), y_(2) are the roots of the quadratic equation y^(2) + |a|yy+ |b| = 0 . If |x_(1)| = |x_(2)|=1 , then prove that |y_(1)| = |y_(2)| =1

Consider the equation az + b bar(z) + c =0 , where a,b,c in Z If |a| ne |b| , then z represents

The coefficients a,b and c of the quadratic equation, ax2+bx+c = 0 are obtained by throwing a dice three times. The probability that this equation has equal roots is:

If 'head' means one and 'tail' means two,then coefficient of quadratic equation ax^2 +bx+c=0 are chosen by tossing three fair coins. The probability that roots of the equating are imaginary is