If the cubic equation `z^(3)+az^(2)+bz+c=0 AA a, b, c in R, c ne0` has a purely imaginary root, then (where `i^(2)=-1`)

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 the quadratic equation ax^2+bx+c=0 (where a,b and c are integers) has an imaginary root 1+i , then 3a+2b+4c=

If a cos alpha+i sin alpha and the equation az^(2)+z+1=0 has a pure imaginary root, then tan alpha=

If a,b,c are non-zero real numbers and the equation ax^(2)+bx+c+i=0 has purely imaginary roots,then

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

If a,b,c are nonzero real numbers and az^(2)+bz+c+i=0 has purely imaginary roots,then prove that a=b^(2)c.

If a ,b ,c are nonzero real numbers and a z^2+b z+c+i=0 has purely imaginary roots, then prove that a=b^2c

If a ,b ,c are nonzero real numbers and a z^2+b z+c+i=0 has purely imaginary roots, then prove that a=b^2c dot

If a ,b ,c are nonzero real numbers and a z^2+b z+c+i=0 has purely imaginary roots, then prove that a=b^2c dot