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If z1,z2,z3 are three complex numbers su...

If `z_1,z_2,z_3` are three complex numbers such that `|z_1|=|z_2|=1`, find the maximum value of `|z_1-z_2|^2+|z_2-z_3|^2+|z_3+z_1|^2`

A

If arg`(z_1/z_2) = pi/2` then arg `((z-z_1)/(z-z_2)) gt pi/4` where |z| gt 1

B

`|z_1z_2 + z_2z_3 + z_3z_1 | = | z_1 + z_2 + z_3| `

C

`lm(((z_1+z_2)(z_2+z_3)(z_3+z_1))/(z_1.z_2.z_3))=0`

D

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`

Text Solution

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The correct Answer is:
B, C, D
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