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Prove that the cross ratio of four complex numbers z1, z2, z3, z4 is real if...

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Advance Math

Prove that the cross ratio of four complex numbers z1, z2, z3,z4 is real if and only if the points z1, z2, z3, z4 lie on a lineor a circle. Then, compute the cross ratio of 1+? 3, 1?3i, ?1 ? iand 1 + i and determine whether they lie on a line, a circle, orneither.

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