If 1 + i 1 - i m = 1 , then m can not be equal to

If 1+i1-im=1, then m can not be equal to
  1. 1934
  2. 2024
  3. 2172
  4. 10100

Solution

Given that, 1+i1-im=1

Here, 

1+i1-i=1+i1-i×1+i1+i

=1+i22

=1+i2+2i2

=2i2

=i

Now, we get 1+i1-im=im=1

We know that, i4=1

From options we see that only 1934 doesnot satisfy this condition.

Asked in: AP EAMCET 2021 (19 Aug Shift 2)

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