If x,y,b are real,z=x+iy and (z-i)/(z-1)=ib,show that (x-1/2)^2+(y-1/2)^2=1/2?
#(x-1/2)^2+(y-1/2)^2=1/2#
2 Answers
Please see below.
Explanation:
As
Now
=
=
=
Hence
Observe that we cannot have
or
or
or
Please refer to the Explanation.
Explanation:
Here is another solution to the Problem :
Given that,
Comparing the Real and Imaginary parts,
Now,
Sub.ing in the
Q.E.D.
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