A) \[x=0\]
B) \[x<0\]
C) \[x>0\]
D) None of these
Correct Answer: A
Solution :
Given, \[\frac{x-1}{1+i}+\frac{y-1}{1-i}=i\] \[\Rightarrow \] \[(1-i)(x-1)+(y-1)(1+i)=2i\] \[\Rightarrow \] \[x-1-ix+i+y+yi-1-i=2i\] \[\Rightarrow \] \[x+y-2+i(y-x-2)=0\] \[\Rightarrow \] \[x+y-2=0\]and \[y-x-2=0\] \[\Rightarrow \] \[x=0,y=2\]You need to login to perform this action.
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