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Let z(1)z(2)andz(3) be three complex n...

Let `z_(1)z_(2)andz_(3)` be three complex
numbers and `a,b,cin R,` such that `a+b+c=0andaz_(1)+bz_(2)+cz_(3)=0` then show that `z_(1)z_(2)and z_(3)` are
collinear.

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