Complex numbers Z₁, Z2, Z3 are the vertices A, B, C, respectively, of an isosceles right-angled triangle with right angle at C. Show that (z₁-z₂)² = 2(Z₁-Z3) (23-2₂).

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Q: [1E q20] Question is attached, Thanks ?  PLEASE ONLY DO PART D) THANKS

A: What is the condition under which |z+w|=|z-w|?