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If z1, z2, z3 are three nonzero complex ...

If `z_1, z_2, z_3` are three nonzero complex numbers such that `z_3=(1-lambda)z_1+lambdaz_2` where `lambda in R-{0},` then prove that points corresponding to `z_1, z_2` and `z_3` are collinear .

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