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Prove that (z1)^2 + (z2)^2 + (z3)^2 = 0 if z1 + z2 + z3 = 0 and |z1| = |z2| = |z3| = 1.

6. Prove that |z1+z2|^2+|z1-z2|^2=2(|z1|^2+|z2|^2) for complex numbers z1 and z2

If z1, z2 are two non-zero complex numbers such that z1+z2=z1+z2, then amp z1z2 is equal to....

If z1 and z2 and two complex numbers and if argz1+z2z1-z2=π2 but |z1 + z2| ≠ |z1 –....

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If| z1| = |z2| = ... = |zn | = 1 , then show that |z1+z2+z3+.....zn| = |1/z1 + 1/z2 + 1/z3+...+1/zn|

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If z1,z2 and z3 are complex numbers such that z1=z2=z3=1z1+1z2+1z31, then z1+z2+z3 is....

If Z1 = (2,–1) & Z2 = (6,3) then amp(Z1 – Z2 / Z1 + Z2) = ; @EAG

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conjugate(z1 z2) = conjugate(z1) conjugate(z2)

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Q31- If z1 z2 z3 are complex number such that |z1 |=|z2 |=|z3 |=|1/z1 +1/z2 +1/z3 |=1 |z1+z2+z3 |=?