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Question

(1+i1i)2+(1i1+i)2 is equal to

A
2i
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B
– 2i
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C
– 2
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D
2
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Solution

The correct option is C – 2
We have, (1+i1i)2+(1i1+i)2
=2i2i+2i2i
[(1+i)2=1+i2+2i and (1i2)=1+i22i=2i]=11=2

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