If z_1,z_2 and z_3 are three complex numbers satisfying 〖z_1〗^2+〖z_2〗^2+〖z_3〗^2-z_2 z_3-z_3 z_1-z...

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Let `z_1,z_2,z_3` be three complex numbers such that `|z_1|=1,|z_2|=2,|z_3|=3 and |z_1+z_2+z_3|=... Let `z_1,z_2,z_3` be three complex numbers such that `|z_1|=1,|z_2|=2,|z_3|=3 and |z_1+z_2+z_3|=...
The complex numbers Z1, Z2 and Z3 satisfying (Z1-Z3)/(Z2-Z3 )=(1-√3 i)/2 are vertices of triangle The complex numbers Z1, Z2 and Z3 satisfying (Z1-Z3)/(Z2-Z3 )=(1-√3 i)/2 are vertices of triangle
Let `z_1z_2,z_3,` be three complex number such that `z_1+z_2+z_3=0` and `|z_1|=|z_2|=|z_... Let `z_1z_2,z_3,` be three complex number such that `z_1+z_2+z_3=0` and `|z_1|=|z_2|=|z_...
If `|z_1|=|z_2|=.......=|z_n|=1,` prove that `|z_1+z_2+z_3++z_n|=1/(z_1)+1/(z_2)+1/(z_3)++1/(z_n)` If `|z_1|=|z_2|=.......=|z_n|=1,` prove that `|z_1+z_2+z_3++z_n|=1/(z_1)+1/(z_2)+1/(z_3)++1/(z_n)`
JEE MAINS 2018 Let `z_1, z_2,z_3` be three distinct complex numbers satisfying `|z_1- 1|=|z_2 -... JEE MAINS 2018 Let `z_1, z_2,z_3` be three distinct complex numbers satisfying `|z_1- 1|=|z_2 -...
Let z_1, z_2, z_3 be three distinct complex numbers - satisfying, |z_1-1|=|z_2-1|=|z_3-1|=1. Let ... Let z_1, z_2, z_3 be three distinct complex numbers - satisfying, |z_1-1|=|z_2-1|=|z_3-1|=1. Let ...
If z_1 and z_2 are two complex numbers satisfying the equation |z_1+z_2/z_1-z_2|=1, then z_1/z_2 ... If z_1 and z_2 are two complex numbers satisfying the equation |z_1+z_2/z_1-z_2|=1, then z_1/z_2 ...
If \(z_1, z_2, z_3\) are 3 distinct complex numbers such that \(\frac{3}{\left|z_2-z_3\right|}=\.... If \(z_1, z_2, z_3\) are 3 distinct complex numbers such that \(\frac{3}{\left|z_2-z_3\right|}=\....