1.

Let z_1,z_2 and z_3 be three distinct complex numbers , satisfying |z_1|=|z_2|=|z_3|=1. Which of the following is/are true :

Answer»

If ARG`(z_1/z_2) = pi/2` then arg `((z-z_1)/(z-z_2)) GT pi/4` where |z| gt 1
`|z_1z_2 + z_2z_3 + z_3z_1 | = | z_1 + z_2 + z_3| `
`LM(((z_1+z_2)(z_2+z_3)(z_3+z_1))/(z_1.z_2.z_3))=0`
If `|z_1-z_2|=sqrt2|z_1-z_3| =sqrt2 |z_2-z_3| `, then Re`((z_3-z_1)/(z_3-z_2))=0`

Answer :B::C::D


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