If \[{{\left( \frac{1-i}{1+i} \right)}^{100}}=a+ib\], then [MP PET 1998]

If \[{{\left( \frac{1-i}{1+i} \right)}^{100}}=a+ib\], then [MP PET

1.	If \[{{\left( \frac{1-i}{1+i} \right)}^{100}}=a+ib\], then [MP PET 1998]
A.	\[a=2,b=-1\]
B.	\[a=1,b=0\]
C.	\[a=0,b=1\]
D.	\[a=-1,b=2\]
Answer» C. \[a=0,b=1\]

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If \[{{\left( \frac{1-i}{1+i} \right)}^{100}}=a+ib\], then [MP PET 1998]

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