28. Complex Numbers question bank (Maths)

Let \(z_1, z_2, z_3\) be complex numbers such that \(|z_1|=|z_2|=|z_3|=1\) and \(\frac{z_1^2}{z_2z_3} + \frac{z_2^2}{z_3z_1} + \frac{z_3^2}{z_1z_2} = -1\), then the value of \(|z_1+z_2+z_3|\) can be  

If \(z_1 = a+ib\) and \(z_2 = c+id\) (where \(i=\sqrt{-1}\)) are two complex numbers such that \(|z_1|=|z_2|=1\) and \(\text{Re}(z_1\overline{z_2})=0\), then the pair of complex numbers \(w_1=a+ic\) and \(w_2=b+id\) satisfies,