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Question Number 146923 by mathdanisur last updated on 16/Jul/21

$$ifarg\left(\frac{i-z}{i}\right)=\frac{\pi }{4}$$$$findRemZ+ImZ=?$$

Answered by gsk2684 last updated on 16/Jul/21

$$arg(1+iz)=\frac{\pi }{4}$$$$arg(1+i(x+iy))=\frac{\pi }{4}$$$$arg((1-y)+ix)=\frac{\pi }{4}$$$$1-y>0,x>0,1-y=x$$$$thenRez+Imz=x+y=1$$$$where1>y,x>0$$

Commented by SLVR last updated on 16/Jul/21

$$greatsir$$

Commented by mathdanisur last updated on 16/Jul/21

$$thankyouSer$$

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