I'm pretty good with complex numbers though I can't figure out how to prove the same.
I experimented with the argand plane a bit yet couldn't come to a solution.
Source: Hasse and Harris IBDP: Application and Interpretation HL
2026-05-05 20:37:36.1778013456
|z+w| = |z-w| ; prove arg(z) and arg(w) differ by (pi/2)
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