Let z_♢, z_2, z_3 be the three nonzero complex numbers such that z_2≠ 1, a=|z_1|, b=|z_2| and c=|...

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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_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|=1.

Let z₁ and z₂ be any two non-zero complex numbers such that 3|z₁| = 4|z₂|. If z = 3z₁/2z₂ + 2z₂/3z₁

Let z_(1),z_(2) and z_(3) be non-zero complex numbers satisfying z^(2)=bar(iz), where i=sqrt(-1)...

Let the complex number \( z_{1}, z_{2}, z_{3} \) represents vertices of an equilateral triangle....

Let z_(1),z_(2) and z_(3) be non-zero complex numbers satisfying z^(2)=bar(iz), where i=sqrt(-1)...

Let \( z_{1}, z_{2}, z_{3} \) be three distinct complex numbers sat...

|z_1*z_2|=|z_1|*|z_2| [Algebraic Proof, Further Pure Mathematics - Complex Numbers]