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If z1, z2, z3 are three non-zero complex number such that z3=(1-x)z1 + x z2, where x belong to R-{0}, then determine the curve on which the points z1, z2.z3 lies.

Answer» If z1, z2, z3 are three non-zero complex number such that z3=(1-x)z1 + x z2, where x belong to R-{0}, then determine the curve on which the points z1, z2.z3 lies.


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