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Complex numbers z1 , z2 , z3 are the ver...

Complex numbers `z_1 , z_2 , z_3` are the vertices `A, B, C` respectively of an isosceles right angled triangle with right angle at C and `(z_1- z_2)^2 = k(z_1 - z_3) (z_3 -z_2)`, then find k.

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