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Question: Answered & Verified by Expert
$\left\{\frac{2 i}{1+i}\right\}^2=$
MathematicsComplex NumberJEE Main
Options:
  • A $1$
  • B $2 i$
  • C $1-i$
  • D $1-2 i$
Solution:
2743 Upvotes Verified Answer
The correct answer is: $2 i$
$\left[\frac{2 i}{1+i}\right]^2=\left[\left(\frac{2 i}{1+i}\right)\left(\frac{1-i}{1-i}\right)\right]^2=(i+1)^2=i^2+1+2 i=2 i$

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