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Let z be a complex number of maximum amp...

Let z be a complex number of maximum amplitude satisfying `|z - 3| = Re(z)`, then `|z - 3|` is equal to

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let` z= x+ iy`
`|z-3| = Re(z)` `x^2 +9 -6x +y^2 = x^2` `y^2= 6x-9` `|z|= sqrt(x^2+ y^2)= sqrt(x^2 +6x-9)` `d/dx(|z|)=0` `(2x+6)/(2sqrt(x^2 + 6x-9))=0`
`x=-3`
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