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 , b are complex numbers and one of the roots of the equation x^(2)+ax+b=0 is purely real whereas the other is purely imaginery, and a^(2)-bara^(2)=kb , then k is

If a , b are complex numbers and one of the roots of the equation x^(2)+ax+b=0 is purely real whereas the other is purely imaginery, and a^(2)-bara^(2)=kb , then k is

If a , b are complex numbers and one of the roots of the equation x^(2)+ax+b=0 is purely real whereas the other is purely imaginery, and a^(2)-bara^(2)=kb , then k is

If a ,b are complex numbers and one of the roots of the equation x^2+a x+b=0 is purely real, whereas the other is purely imaginary, prove that a^2- (bar a)^2=4b .

If a ,b are complex numbers and one of the roots of the equation x^2+a x+b=0 is purely real, whereas the other is purely imaginary, prove that a^2- (bar a)^2=4b .

If a,b are complex numbers and one of the roots of the equation x^(2)+ax+b=0 is purely real,wheres the other is purely imaginary,prove that a^(2)-a^(-2)=4b

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

The complex number z is purely imaginary,if

If the roots of the equation ax^2 + bx + c = 0, a != 0 (a, b, c are real numbers), are imaginary and a + c < b, then

The complex number z is purely imaginary , if