The smallest positive integral value of n for which ( 1-i 1+i )^ n is purely imaginary with positive imaginary part, is

JEE Advanced Mathematics question

The smallest positive integral value of for which is purely imaginary with positive imaginary part, is

Answer: (B)

. So the expression is : - : is purely imaginary, but its imaginary part is **negative**. - : is real. - :

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Question ID VK-108039