Let `z_1a n dz_2` be two complex numbers such that `( z )_1+i( z )_2=0a n d arg(z_1z_2)=pidot` Then, find `a r g(z_1)dot`

Explanation

Let `z_1=a+ib` and `z_2=c-id`, where `a>0` and `d>0`. Then,


`|z_1|=|z_2|+=>a^2+b^2=c^2+d^2`..(1)


Now, `(z_1+z_2)/(z_1-z_2)=((a+ib)+(c-id))/((a+ib)-(c-id))`


`=([(a+c)+i(b-d)][(a-c)-i(b+d)])/([(a-c)+i(b+d)][(a-c)-i(b+d)])`


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