Complex Numbers 1 Question 9

9. The smallest positive integer n for which 1+in1i=1, is

(a) 8

(b) 16

(c) 12

(d) None of these

(1980,2M)

Objective Question II

(One or more than one correct option)

Show Answer

Answer:

Correct Answer: 9. (d)

Solution:

  1. Since, 1+i1in=11+i1i×1+i1+in=1

2in2=1in=1

The smallest positive integer n for which in=1 is 4 .

n=4



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