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Question

If z=(1+i1i), then z4 equals


A

1

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B

-1

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C

0

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D

none of these

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Solution

The correct option is A

1


Let z=(1+i1i)

Rationalising the denominator,

z=1+i1i×1+i1+i z=1+i2+2i1i2 z=11+2i1+1 z=2i2 z=i z4=i4Since i2=1,We have: z4=i2×i2 z4=1


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