|z+w| = |z-w| ; prove arg(z) and arg(w) differ by (pi/2)

Asked Dec 07 '19 at 08:01

Active Dec 07 '19 at 08:01

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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

asked Dec 07 '19 at 08:01

Math Comorbidity

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It's asking to show that a parallelogram with equal diagonals is a rectangle. – Angina Seng Dec 07 '19 at 08:06
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Also: https://math.stackexchange.com/q/990522/42969, https://math.stackexchange.com/q/573019/42969 – all found with Approach0 – Martin R Dec 07 '19 at 08:09

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