`Z_1 and Z_2` are two complex numbers represented by the plans A and B in the argand Plane `Z_! And Z_2` are the roots of `Z^2+pZ+q = 0`. `/_AOB = alpha` `alpha!= 0` and O is origin and OA = OB, then `p^2/q` is equal to

`Z_1 and Z_2` are two complex numbers represented by the plans A and B

1.	`Z_1 and Z_2` are two complex numbers represented by the plans A and B in the argand Plane `Z_! And Z_2` are the roots of `Z^2+pZ+q = 0`. `/_AOB = alpha` `alpha!= 0` and O is origin and OA = OB, then `p^2/q` is equal to
Answer» `Z_1=re^(itheta)` `Z_2=re^(1(theta+alpha))` `Z^2+PZ+q=0` `Z_1+Z_2=-P` `Z_1Z_2=q` `p^2/q=((Z_1+Z_2)^2/(z_1Z_2))` `(r^2e^(120)(1+2e^(1alpha)+e^(12alpha)))/(r^2e^(itheta)*e^(i(theta+alpha)` `=(1+2e^(1alpha)+e^(12alpha))/(e^(ialpha)` `=e^(-ialpha)+2+e^(ialpha)`.