Q.

The least positive integer n for which (1+i)n(1−i)n−2  is a real number is

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a

2

b

1

c

3

d

5

answer is B.

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Detailed Solution

1+i1-in1-i2=in-2i=-2in+1 ⇒least value of n=1
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The least positive integer n for which (1+i)n(1−i)n−2  is a real number is