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

If roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then roots of the equation ax^(2)+2bx+c=0 are

If a and b are complex and one of the roots of the equation x^(2) + ax + b =0 is purely real whereas the other is purely imaginary, then

If a and b are complex and one of the roots of the equation x^(2) + ax + b =0 is purely real whereas the other is purely imaginary, then

For a complex number Z, if all the roots of the equation Z^3 + aZ^2 + bZ + c = 0 are unimodular, then

If a is a complex number such that |a|=1 , then find the value of a, so that equation az^2 + z +1=0 has one purely imaginary root.

If a is a complex number such that |a|=1 , then find the value of a, so that equation az^2 + z +1=0 has one purely imaginary root.

If a is a complex number such that |a|=1 , then find thevalue of a, so that equation az^2 + z +1=0 has one purely imaginary root.

If a is a complex number such that |a|=1 , then find the value of a, so that equation az^2 + z +1=0 has one purely imaginary root.

If a is a complex number such that |a|=1 , then find thevalue of a, so that equation az^2 + z +1=0 has one purely imaginary root.