if z1 and z2 are two non complex such that modulus of z1+z2=modulus of z1-z2 then find the argz1-argz2?

Question

if z1 and z2 are two non complex such that modulus of z1+z2=modulus of z1-z2 then find the argz1-argz2?

subrat · Answer

1. Square both sides and express both sides in zz` form.2. Upon solving we get z1(z2`) + z2(z1`) = 03. This must mean that real part of z1(z2`) must be 0.4. Let z1(z2`) be ki, where k~Real and i is iota.5. Then upon dividing by |z2|^2 and writing it as z2(z2`) we get z1/z2 = ki.6. => arg(z1/z2) = π/2

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if z1 and z2 are two non complex such that modulus of z1+z2=modulus of z1-z2 then find the argz1-argz2?

if z1 and z2 are two non complex such that modulus of z1+z2=modulus of z1-z2 then find the argz1-argz2?

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if z1 and z2 are two non complex such that modulus of z1+z2=modulus of z1-z2 then find the argz1-argz2?

if z1 and z2 are two non complex such that modulus of z1+z2=modulus of z1-z2 then find the argz1-argz2?

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